Pith Number

pith:MRTAAU3Q

pith:2019:MRTAAU3Q3FEWZAEUKGOX63WEEV

not attested not anchored not stored refs pending

A factorization homology primer

David Ayala, John Francis

arxiv:1903.10961 v1 · 2019-03-26 · math.AT · math-ph · math.CT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRTAAU3Q3FEWZAEUKGOX63WEEV}

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	2026-05-17T23:50:17.124545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6466005370d9496c8094519d7f6ec42544363fc9996153571fc082485dcf11f8

Aliases

arxiv: 1903.10961 · arxiv_version: 1903.10961v1 · doi: 10.48550/arxiv.1903.10961 · pith_short_12: MRTAAU3Q3FEW · pith_short_16: MRTAAU3Q3FEWZAEU · pith_short_8: MRTAAU3Q

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/MRTAAU3Q3FEWZAEUKGOX63WEEV \
  | 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: 6466005370d9496c8094519d7f6ec42544363fc9996153571fc082485dcf11f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59714b26321c6069cfbfbfab0f0255e88a868e840aad3eb91ce28cefdf271da7",
    "cross_cats_sorted": [
      "math-ph",
      "math.CT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-03-26T15:42:07Z",
    "title_canon_sha256": "65bb36f765448a845bb22eba639c1cb6f6447263a1d9e11f7d078919bd400e65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10961",
    "kind": "arxiv",
    "version": 1
  }
}