Pith Number

pith:ILI3JPGM

pith:2011:ILI3JPGMT46RF6WJYNBCOPXUJC

not attested not anchored not stored refs pending

The movable cone via intersections

Brian Lehmann

arxiv:1111.3928 v4 · 2011-11-16 · 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{ILI3JPGMT46RF6WJYNBCOPXUJC}

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	2026-05-18T03:37:53.221577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d1b4bccc9f3d12fac9c342273ef448a5424d38c7806824c416f857f0e36690

Aliases

arxiv: 1111.3928 · arxiv_version: 1111.3928v4 · doi: 10.48550/arxiv.1111.3928 · pith_short_12: ILI3JPGMT46R · pith_short_16: ILI3JPGMT46RF6WJ · pith_short_8: ILI3JPGM

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/ILI3JPGMT46RF6WJYNBCOPXUJC \
  | 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: 42d1b4bccc9f3d12fac9c342273ef448a5424d38c7806824c416f857f0e36690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f0f7921e5580629feed645f0d205a78c5d5c8bd66e303f9f44c6b5593e45f9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-16T19:59:41Z",
    "title_canon_sha256": "0fa4ee4c61e78150c6fd81b01692e0f9a571c66dd20d4f96b0ff4604f7b916c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3928",
    "kind": "arxiv",
    "version": 4
  }
}