Pith Number

pith:6U457XCU

pith:2012:6U457XCUMABGXCMK65VLP43GUG

not attested not anchored not stored refs pending

Lifting of Curves

Florian Pop

arxiv:1203.1867 v1 · 2012-03-08 · 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{6U457XCUMABGXCMK65VLP43GUG}

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	2026-05-18T04:00:36.732935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f539dfdc5460026b898af76ab7f366a1b934300d2a8ab364b7edb844dea9cfa2

Aliases

arxiv: 1203.1867 · arxiv_version: 1203.1867v1 · doi: 10.48550/arxiv.1203.1867 · pith_short_12: 6U457XCUMABG · pith_short_16: 6U457XCUMABGXCMK · pith_short_8: 6U457XCU

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/6U457XCUMABGXCMK65VLP43GUG \
  | 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: f539dfdc5460026b898af76ab7f366a1b934300d2a8ab364b7edb844dea9cfa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c50aa1f427129512dcf83bdddc5e25cc2c4b26f144b2e9081c2fe1772c8f9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-08T17:54:50Z",
    "title_canon_sha256": "f8757eb05e7d0740188bd1205e3d9a10cf989fc8cb5b52b3ed91d75b3648973d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1867",
    "kind": "arxiv",
    "version": 1
  }
}