Pith Number

pith:PP2Z4HY7

pith:2010:PP2Z4HY74HCS734LGTXTUSGS5X

not attested not anchored not stored refs pending

On the dual of the mobile cone

Sung Rak Choi

arxiv:1011.4646 v3 · 2010-11-21 · 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{PP2Z4HY74HCS734LGTXTUSGS5X}

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	2026-05-18T04:22:40.060288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf59e1f1fe1c52fef8b34ef3a48d2edf4eae9998578a2e91857df08ec3037a5

Aliases

arxiv: 1011.4646 · arxiv_version: 1011.4646v3 · doi: 10.48550/arxiv.1011.4646 · pith_short_12: PP2Z4HY74HCS · pith_short_16: PP2Z4HY74HCS734L · pith_short_8: PP2Z4HY7

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/PP2Z4HY74HCS734LGTXTUSGS5X \
  | 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: 7bf59e1f1fe1c52fef8b34ef3a48d2edf4eae9998578a2e91857df08ec3037a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af1ea2492a7605e573e5d6f8c57a5b2c7384254817da851fc149bb67f138746b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-21T10:07:03Z",
    "title_canon_sha256": "c59661810586facc895a985472852504a9c806a22425962feeeae65f223e219e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4646",
    "kind": "arxiv",
    "version": 3
  }
}