Pith Number

pith:S7ZZ5MST

pith:2010:S7ZZ5MSTNY4EQ6UH2O2AVMTLXU

not attested not anchored not stored refs pending

Pushing fillings in right-angled Artin groups

Aaron Abrams, Moon Duchin, Noel Brady, Pallavi Dani, Robert Young

arxiv:1004.4253 v3 · 2010-04-24 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7ZZ5MSTNY4EQ6UH2O2AVMTLXU}

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	2026-05-18T02:58:02.201831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97f39eb2536e38487a87d3b40ab26bbd3949f0a6b222862f73892e5cc7f5930a

Aliases

arxiv: 1004.4253 · arxiv_version: 1004.4253v3 · doi: 10.48550/arxiv.1004.4253 · pith_short_12: S7ZZ5MSTNY4E · pith_short_16: S7ZZ5MSTNY4EQ6UH · pith_short_8: S7ZZ5MST

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/S7ZZ5MSTNY4EQ6UH2O2AVMTLXU \
  | 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: 97f39eb2536e38487a87d3b40ab26bbd3949f0a6b222862f73892e5cc7f5930a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ca846ba9518f17208024d4d5ce6ca5d792bf7a6a49b27ae39c8c987d43da8bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-04-24T04:55:15Z",
    "title_canon_sha256": "15512e29dcb541236035ee8bf15f05d6f98bf774daf00613dd9d318c9dbba69a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4253",
    "kind": "arxiv",
    "version": 3
  }
}