Pith Number

pith:M47LXUIO

pith:2012:M47LXUIOECGLXD3M53QIF2E5DT

not attested not anchored not stored refs pending

The H_N filtration of bundles as Frobenius pull-back

Mingshuo Zhou

arxiv:1212.4404 v1 · 2012-12-18 · 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{M47LXUIOECGLXD3M53QIF2E5DT}

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	2026-05-18T03:38:13.142047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

673ebbd10e208cbb8f6ceee082e89d1cddc749ff8507a1f3984bd416d71ee746

Aliases

arxiv: 1212.4404 · arxiv_version: 1212.4404v1 · doi: 10.48550/arxiv.1212.4404 · pith_short_12: M47LXUIOECGL · pith_short_16: M47LXUIOECGLXD3M · pith_short_8: M47LXUIO

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/M47LXUIOECGLXD3M53QIF2E5DT \
  | 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: 673ebbd10e208cbb8f6ceee082e89d1cddc749ff8507a1f3984bd416d71ee746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d062d04c2d97f3bba0fc6c2243aee3b2c94ed987cf46bb42d98023f2fcdc91e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-18T16:08:18Z",
    "title_canon_sha256": "6393067714746115f403ede3b88dec8fcd0a879bbcb578d7a472f45c6425927a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4404",
    "kind": "arxiv",
    "version": 1
  }
}