Pith Number

pith:DXTUTGTL

pith:2019:DXTUTGTLRWQQIGN7HLUJMKC7GK

not attested not anchored not stored refs pending

Massey products for graph homology

Benjamin C. Ward

arxiv:1903.12055 v3 · 2019-03-28 · math.AT · math.KT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXTUTGTLRWQQIGN7HLUJMKC7GK}

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	2026-07-05T02:05:36.776992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1de7499a6b8da10419bf3ae896285f32945f0a9de7013952b63e77bc193c0022

Aliases

arxiv: 1903.12055 · arxiv_version: 1903.12055v3 · doi: 10.48550/arxiv.1903.12055 · pith_short_12: DXTUTGTLRWQQ · pith_short_16: DXTUTGTLRWQQIGN7 · pith_short_8: DXTUTGTL

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/DXTUTGTLRWQQIGN7HLUJMKC7GK \
  | 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: 1de7499a6b8da10419bf3ae896285f32945f0a9de7013952b63e77bc193c0022

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6f5921d5478f4707aec6aa1d44f75d6e56e2ca7bb32e9eba03e01dc1000985f",
    "cross_cats_sorted": [
      "math.KT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-03-28T15:38:33Z",
    "title_canon_sha256": "323b9366692380997fee18ecde61e3eda03298d6e15ecb14146f79a730589f3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.12055",
    "kind": "arxiv",
    "version": 3
  }
}