Pith Number

pith:EERZKNWS

pith:2015:EERZKNWSEAJUEW3OARQOA2CHB4

not attested not anchored not stored refs pending

Classifying Toric and Semitoric Fans by Lifting Equations from ${\rm SL}_2({\mathbb Z})$

\'Alvaro Pelayo, Daniel M. Kane, Joseph Palmer

arxiv:1502.07698 v6 · 2015-02-26 · math.SG · math.AG · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EERZKNWSEAJUEW3OARQOA2CHB4}

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	2026-05-18T00:22:49.474717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21239536d22013425b6e0460e068470f21f4b98c3a51991f589ecbaeee33fc92

Aliases

arxiv: 1502.07698 · arxiv_version: 1502.07698v6 · doi: 10.48550/arxiv.1502.07698 · pith_short_12: EERZKNWSEAJU · pith_short_16: EERZKNWSEAJUEW3O · pith_short_8: EERZKNWS

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/EERZKNWSEAJUEW3OARQOA2CHB4 \
  | 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: 21239536d22013425b6e0460e068470f21f4b98c3a51991f589ecbaeee33fc92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bc10e2322564adc4dfcec3c150232a9736f7653fcb4e3ac09d2dff9196622e1",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-02-26T19:48:30Z",
    "title_canon_sha256": "cbb7fe7103b5f7329f038d886ae011f46d858b24ab59bbf4596927d8579c176d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07698",
    "kind": "arxiv",
    "version": 6
  }
}