Pith Number

pith:ZGW3X64G

pith:2015:ZGW3X64GPRKYFWETUOJJ374KOL

not attested not anchored not stored refs pending

Characterizing volume via cone duality

Jian Xiao

arxiv:1502.06450 v1 · 2015-02-23 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGW3X64GPRKYFWETUOJJ374KOL}

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	2026-05-18T02:26:37.292364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9adbbfb867c5582d893a3929dff8a72ee9e806a4569e3bae4d9fefa41d005fa

Aliases

arxiv: 1502.06450 · arxiv_version: 1502.06450v1 · doi: 10.48550/arxiv.1502.06450 · pith_short_12: ZGW3X64GPRKY · pith_short_16: ZGW3X64GPRKYFWET · pith_short_8: ZGW3X64G

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/ZGW3X64GPRKYFWETUOJJ374KOL \
  | 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: c9adbbfb867c5582d893a3929dff8a72ee9e806a4569e3bae4d9fefa41d005fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da35199a6d6dc8d905827af4fbf3f7e67e8f86ad7a33c3371aa9c575e01a3988",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-02-23T14:49:05Z",
    "title_canon_sha256": "fbee452c6c3a5c5ed4f76f43c8cb39471634c029dfbcc71763bb88983ff8ce4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06450",
    "kind": "arxiv",
    "version": 1
  }
}