Pith Number

pith:GA2Q55VS

pith:2011:GA2Q55VSYAKBYEWIUJI4TCKEFP

not attested not anchored not stored refs pending

Are diverging CP components always nearly proportional?

Alwin Stegeman, Lieven De Lathauwer

arxiv:1110.1988 v1 · 2011-10-10 · 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{GA2Q55VSYAKBYEWIUJI4TCKEFP}

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	2026-05-18T04:11:19.176741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30350ef6b2c0141c12c8a251c989442bd0bb75cd5d0d8153f5ec45c162001bdb

Aliases

arxiv: 1110.1988 · arxiv_version: 1110.1988v1 · doi: 10.48550/arxiv.1110.1988 · pith_short_12: GA2Q55VSYAKB · pith_short_16: GA2Q55VSYAKBYEWI · pith_short_8: GA2Q55VS

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/GA2Q55VSYAKBYEWIUJI4TCKEFP \
  | 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: 30350ef6b2c0141c12c8a251c989442bd0bb75cd5d0d8153f5ec45c162001bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc9f1da1f1f90bc4f7809aad60127b89907b15764bebe7185f48a14f8fad2108",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-10T10:23:11Z",
    "title_canon_sha256": "1790bf9cdfa62b15124ddb1f5deb1e71b98f7b5be713597736ceee31e0fe7f5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1988",
    "kind": "arxiv",
    "version": 1
  }
}