Pith Number

pith:OA3NSPSW

pith:2020:OA3NSPSWHJE6E4YSCFXQWSKJHP

not attested not anchored not stored refs pending

Singular Hodge theory for combinatorial geometries

Botong Wang, Jacob P. Matherne, June Huh, Nicholas Proudfoot, Tom Braden

arxiv:2010.06088 v5 · 2020-10-13 · math.CO · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OA3NSPSWHJE6E4YSCFXQWSKJHP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Polar Degrees of Matroids

Equivariant gamma-positivity of matroid Chow rings

Inverse Kazhdan--Lusztig polynomials of fan matroids

Receipt and verification

First computed	2026-06-30T01:17:17.687937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7036d93e563a49e27312116f0b49493bcf6e14cb3f3eec7ffce90cc0a52b36c4

Aliases

arxiv: 2010.06088 · arxiv_version: 2010.06088v5 · doi: 10.48550/arxiv.2010.06088 · pith_short_12: OA3NSPSWHJE6 · pith_short_16: OA3NSPSWHJE6E4YS · pith_short_8: OA3NSPSW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OA3NSPSWHJE6E4YSCFXQWSKJHP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7036d93e563a49e27312116f0b49493bcf6e14cb3f3eec7ffce90cc0a52b36c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b20a010460b806caf65b674af77f23be774deb5cdb05d5474328da7c8c71a0b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-13T00:26:28Z",
    "title_canon_sha256": "2a90cd814ed7b66721d56e7ad9859082c52b2710e6c038bd024c86162b8874b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.06088",
    "kind": "arxiv",
    "version": 5
  }
}