Pith Number

pith:6JD6YSFI

pith:2011:6JD6YSFIEICTCHT4K5M2AB6PHH

not attested not anchored not stored refs pending

Syzygies of differentials of forms

Aron Simis (Universidade Federal de Pernambuco, Brazil), Isabel Bermejo (Universidad de La Laguna, Philippe Gimenez (Universidad de Valladolid, Spain)

arxiv:1112.4427 v2 · 2011-12-19 · math.AC · 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{6JD6YSFIEICTCHT4K5M2AB6PHH}

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	2026-05-18T01:12:36.816562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f247ec48a82205311e7c5759a007cf39c5578c0ebe9aaabe58f89fb50ae8f4cc

Aliases

arxiv: 1112.4427 · arxiv_version: 1112.4427v2 · doi: 10.48550/arxiv.1112.4427 · pith_short_12: 6JD6YSFIEICT · pith_short_16: 6JD6YSFIEICTCHT4 · pith_short_8: 6JD6YSFI

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/6JD6YSFIEICTCHT4K5M2AB6PHH \
  | 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: f247ec48a82205311e7c5759a007cf39c5578c0ebe9aaabe58f89fb50ae8f4cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e247d27839fffbd28d16b49f1d8918a70de07d9751d0bb2b6f428f9bc76f6e65",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-12-19T18:22:39Z",
    "title_canon_sha256": "46ce0f73d12104e3e826e3a4e32e9c782e5c3270ab70be98afcdf50ebad6b882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4427",
    "kind": "arxiv",
    "version": 2
  }
}