Pith Number

pith:O4ZMLME3

pith:2012:O4ZMLME3ZUCUJM6GIEDXRIADQJ

not attested not anchored not stored refs pending

A note on measure homology

Roberto Frigerio

arxiv:1204.6198 v1 · 2012-04-27 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4ZMLME3ZUCUJM6GIEDXRIADQJ}

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	2026-05-18T03:56:46.791687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7732c5b09bcd0544b3c6410778a0038278d52cbdb4542283b524a76ad3e54055

Aliases

arxiv: 1204.6198 · arxiv_version: 1204.6198v1 · doi: 10.48550/arxiv.1204.6198 · pith_short_12: O4ZMLME3ZUCU · pith_short_16: O4ZMLME3ZUCUJM6G · pith_short_8: O4ZMLME3

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/O4ZMLME3ZUCUJM6GIEDXRIADQJ \
  | 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: 7732c5b09bcd0544b3c6410778a0038278d52cbdb4542283b524a76ad3e54055

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efdb862b4ec89faa89696ab6a2f3a8fe1c19cd41000c1736449a241202a86c35",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-04-27T13:04:28Z",
    "title_canon_sha256": "fe96c80078d49b318ce16ff0b747cc0e6c87679b14eb8116cc45fcad8674d755"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6198",
    "kind": "arxiv",
    "version": 1
  }
}