Pith Number

pith:FOEYIKX2

pith:2013:FOEYIKX2UTAOAIZZJIEMSIEM6S

not attested not anchored not stored refs pending

The skeleton of the Jacobian, the Jacobian of the skeleton, and lifting meromorphic functions from tropical to algebraic curves

Joseph Rabinoff, Matthew Baker

arxiv:1308.3864 v1 · 2013-08-18 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOEYIKX2UTAOAIZZJIEMSIEM6S}

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	2026-05-18T03:15:42.316965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b89842afaa4c0e023394a08c9208cf4befc228c4f54173d79ad57b60b503768

Aliases

arxiv: 1308.3864 · arxiv_version: 1308.3864v1 · doi: 10.48550/arxiv.1308.3864 · pith_short_12: FOEYIKX2UTAO · pith_short_16: FOEYIKX2UTAOAIZZ · pith_short_8: FOEYIKX2

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/FOEYIKX2UTAOAIZZJIEMSIEM6S \
  | 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: 2b89842afaa4c0e023394a08c9208cf4befc228c4f54173d79ad57b60b503768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2c52d10a3c064e41af4e9d073d2cb9919890ce0c9269e99b2979865f41a0390",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-18T14:49:29Z",
    "title_canon_sha256": "c73693a9e0e092f5c42cfeadc78d56a8007c3e9d48adcfcbfddfb53bae66f61a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3864",
    "kind": "arxiv",
    "version": 1
  }
}