Pith Number

pith:TDJBMUOA

pith:2024:TDJBMUOANHY2TQEULTC3CA5Q7N

not attested not anchored not stored refs pending

The decomposition space perspective

Philip Hackney

arxiv:2409.19061 v2 · 2024-09-27 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDJBMUOANHY2TQEULTC3CA5Q7N}

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	2026-05-18T02:44:39.491443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98d21651c069f1a9c0945cc5b103b0fb576eb501e807339a27acf9bc09fcba0b

Aliases

arxiv: 2409.19061 · arxiv_version: 2409.19061v2 · doi: 10.48550/arxiv.2409.19061 · pith_short_12: TDJBMUOANHY2 · pith_short_16: TDJBMUOANHY2TQEU · pith_short_8: TDJBMUOA

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/TDJBMUOANHY2TQEULTC3CA5Q7N \
  | 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: 98d21651c069f1a9c0945cc5b103b0fb576eb501e807339a27acf9bc09fcba0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e7175dd2eb4b1c80da36ac761eb9806d575e873171863db7d6913fc6342d260",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-09-27T18:00:51Z",
    "title_canon_sha256": "4f7cf265fb880b09408880033e97d0e8ba35355d8968ff175c349129a70608ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.19061",
    "kind": "arxiv",
    "version": 2
  }
}