Pith Number

pith:4F4WU2MU

pith:2013:4F4WU2MUWIRLWRJRO4J665IMM3

not attested not anchored not stored refs pending

Syzygies of some GIT quotients

Krishna Hanumanthu, S. Senthamarai Kannan

arxiv:1309.3893 v2 · 2013-09-16 · 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{4F4WU2MUWIRLWRJRO4J665IMM3}

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	2026-05-18T01:36:22.998214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1796a6994b222bb45317713ef750c66daf315fc9988bdd9a989ca5ba1bf0c81

Aliases

arxiv: 1309.3893 · arxiv_version: 1309.3893v2 · doi: 10.48550/arxiv.1309.3893 · pith_short_12: 4F4WU2MUWIRL · pith_short_16: 4F4WU2MUWIRLWRJR · pith_short_8: 4F4WU2MU

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/4F4WU2MUWIRLWRJRO4J665IMM3 \
  | 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: e1796a6994b222bb45317713ef750c66daf315fc9988bdd9a989ca5ba1bf0c81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "047f1063012f2cc4cf31eed3faccaa82e3f0538559040448ba49b591fbc945bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-16T10:45:04Z",
    "title_canon_sha256": "063923a66fc48f42d02894b2cc4d5c7d559c5589598754fdc901e9207860ac05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3893",
    "kind": "arxiv",
    "version": 2
  }
}