Pith Number

pith:37MIZKLL

pith:2019:37MIZKLLZ73W3CJIGXANQEBJ5W

not attested not anchored not stored refs pending

Topological and Geometric filtration for products

Jin Cao, Wenchuan Hu

arxiv:1901.06633 v2 · 2019-01-20 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37MIZKLLZ73W3CJIGXANQEBJ5W}

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.

Receipt and verification

First computed	2026-07-05T03:28:57.341814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfd88ca96bcff76d892835c0d81029ed8a454aeca7c450a98bea94cff2252a1a

Aliases

arxiv: 1901.06633 · arxiv_version: 1901.06633v2 · doi: 10.48550/arxiv.1901.06633 · pith_short_12: 37MIZKLLZ73W · pith_short_16: 37MIZKLLZ73W3CJI · pith_short_8: 37MIZKLL

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/37MIZKLLZ73W3CJIGXANQEBJ5W \
  | 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: dfd88ca96bcff76d892835c0d81029ed8a454aeca7c450a98bea94cff2252a1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de7a200fd8ba5f21569f71315fae79fa0b317b513fe8a2d589c09192247bb3dd",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-20T07:31:10Z",
    "title_canon_sha256": "1595c7f17730c31533e9ed69c79fb23f741d2f371b6505d89f51e864ec476a5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06633",
    "kind": "arxiv",
    "version": 2
  }
}