Pith Number

pith:KJTN2T54

pith:2016:KJTN2T54HC5S4GPIKTM3NGCI7X

not attested not anchored not stored refs pending

Contraction algebra and invariants of singularities

Yukinobu Toda, Zheng Hua

arxiv:1601.04881 v2 · 2016-01-19 · 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{KJTN2T54HC5S4GPIKTM3NGCI7X}

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	2026-05-18T01:22:16.211003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5266dd4fbc38bb2e19e854d9b69848fdd001118e013938079a39771da29da583

Aliases

arxiv: 1601.04881 · arxiv_version: 1601.04881v2 · doi: 10.48550/arxiv.1601.04881 · pith_short_12: KJTN2T54HC5S · pith_short_16: KJTN2T54HC5S4GPI · pith_short_8: KJTN2T54

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/KJTN2T54HC5S4GPIKTM3NGCI7X \
  | 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: 5266dd4fbc38bb2e19e854d9b69848fdd001118e013938079a39771da29da583

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "387ca2a06ce64650d39fef20b5ac6103b043a1d1080f59c87bb2ebe11d476cc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-19T11:45:37Z",
    "title_canon_sha256": "fe98e69259332f9787b1c1ddc5a670257281205e91fc2303afb5b12af6638f37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04881",
    "kind": "arxiv",
    "version": 2
  }
}