Pith Number

pith:PLYBZUG3

pith:2012:PLYBZUG3HMNMLDPOW53L7GQHTA

not attested not anchored not stored refs pending

FI-modules over Noetherian rings

Benson Farb, Jordan S. Ellenberg, Rohit Nagpal, Thomas Church

arxiv:1210.1854 v2 · 2012-10-05 · math.RT · math.AT · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLYBZUG3HMNMLDPOW53L7GQHTA}

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	2026-05-18T02:31:12.300249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7af01cd0db3b1ac58deeb776bf9a07983f5a1f7ce4e2f30cf651101b58ad51e4

Aliases

arxiv: 1210.1854 · arxiv_version: 1210.1854v2 · doi: 10.48550/arxiv.1210.1854 · pith_short_12: PLYBZUG3HMNM · pith_short_16: PLYBZUG3HMNMLDPO · pith_short_8: PLYBZUG3

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/PLYBZUG3HMNMLDPOW53L7GQHTA \
  | 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: 7af01cd0db3b1ac58deeb776bf9a07983f5a1f7ce4e2f30cf651101b58ad51e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd6856cb800dc65a3351c1abb6b33383fa8f664049e738ba0f519d54ae43388e",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-10-05T20:01:29Z",
    "title_canon_sha256": "85ae73742689f11764a54bc300996f47047e3184b1afc911b37b87214e1fada5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1854",
    "kind": "arxiv",
    "version": 2
  }
}