Pith Number

pith:SSYJ4KCX

pith:2012:SSYJ4KCX2D4HD6GHXFEOJ6HLQD

not attested not anchored not stored refs pending

The Orlik-Solomon Algebra and the Bergman Fan of a Matroid

Ilia Zharkov

arxiv:1209.1651 v2 · 2012-09-07 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSYJ4KCX2D4HD6GHXFEOJ6HLQD}

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	2026-05-18T03:11:09.593990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94b09e2857d0f871f8c7b948e4f8eb80cd252345406e8321f4db770e9b7987a0

Aliases

arxiv: 1209.1651 · arxiv_version: 1209.1651v2 · doi: 10.48550/arxiv.1209.1651 · pith_short_12: SSYJ4KCX2D4H · pith_short_16: SSYJ4KCX2D4HD6GH · pith_short_8: SSYJ4KCX

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/SSYJ4KCX2D4HD6GHXFEOJ6HLQD \
  | 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: 94b09e2857d0f871f8c7b948e4f8eb80cd252345406e8321f4db770e9b7987a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "180779dbd1f0b7f6e52ad86a3a45d1adbb533d9b749219be4c0ff246854c930e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-07T21:12:11Z",
    "title_canon_sha256": "ba7eaebbaa76155cfef718f91f6ba886fabf5dd33bb904234ebd076dd33c71ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1651",
    "kind": "arxiv",
    "version": 2
  }
}