Pith Number

pith:UK26VGEG

pith:2015:UK26VGEGF5M52BSOQ2DBQ2GIGI

not attested not anchored not stored refs pending

Refined Algorithms to Compute Syzygies

Andreas Steenpass, Burcin Erocal, Frank-Olaf Schreyer, Oleksandr Motsak

arxiv:1502.01654 v2 · 2015-02-05 · 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{UK26VGEGF5M52BSOQ2DBQ2GIGI}

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	2026-05-18T01:23:04.278875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2b5ea98862f59dd064e86861868c8321bbe27322b4f998ee99294a2fb3f06fd

Aliases

arxiv: 1502.01654 · arxiv_version: 1502.01654v2 · doi: 10.48550/arxiv.1502.01654 · pith_short_12: UK26VGEGF5M5 · pith_short_16: UK26VGEGF5M52BSO · pith_short_8: UK26VGEG

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/UK26VGEGF5M52BSOQ2DBQ2GIGI \
  | 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: a2b5ea98862f59dd064e86861868c8321bbe27322b4f998ee99294a2fb3f06fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58c259191455546f2b00179d0fe9fb165558b752721d947ceefdc3c2c78014f2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-02-05T17:46:04Z",
    "title_canon_sha256": "f5231a0d290d0fbd55a56538303dd98fa572624282c44d3d82f94df37ea86cfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01654",
    "kind": "arxiv",
    "version": 2
  }
}