Pith Number

pith:SA6S65SN

pith:2024:SA6S65SNVAV3GS357QEYVFFVNB

not attested not anchored not stored refs pending

Bordism and resolution of singularities

Mohammed Abouzaid, Shaoyun Bai

arxiv:2412.04451 v2 · 2024-12-05 · math.AT · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SA6S65SNVAV3GS357QEYVFFVNB}

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	2026-07-05T10:53:13.784460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

903d2f764da82bb34b7dfc098a94b56858d0a7779e3fd0fc8331feda78c01b49

Aliases

arxiv: 2412.04451 · arxiv_version: 2412.04451v2 · doi: 10.48550/arxiv.2412.04451 · pith_short_12: SA6S65SNVAV3 · pith_short_16: SA6S65SNVAV3GS35 · pith_short_8: SA6S65SN

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/SA6S65SNVAV3GS357QEYVFFVNB \
  | 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: 903d2f764da82bb34b7dfc098a94b56858d0a7779e3fd0fc8331feda78c01b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61dfbf123a80fdd87cd53d95286092b2173f8f7085ef3ebb275c33fae8e971ef",
    "cross_cats_sorted": [
      "math.AG",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-12-05T18:58:10Z",
    "title_canon_sha256": "0063973cef95e230c6a1e060276139cea25a37ac1a938604cbf5568d80751d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04451",
    "kind": "arxiv",
    "version": 2
  }
}