Pith Number

pith:7OO4HPRR

pith:2011:7OO4HPRR3Z4FJMW7TUAEESIJ2A

not attested not anchored not stored refs pending

Partition's sensitivity for measurable maps

C. A. Morales

arxiv:1111.2820 v1 · 2011-11-11 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OO4HPRR3Z4FJMW7TUAEESIJ2A}

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	2026-05-18T04:08:24.981227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb9dc3be31de7854b2df9d00424909d00eb6ff31181f1173893b8273e9e2bbb7

Aliases

arxiv: 1111.2820 · arxiv_version: 1111.2820v1 · doi: 10.48550/arxiv.1111.2820 · pith_short_12: 7OO4HPRR3Z4F · pith_short_16: 7OO4HPRR3Z4FJMW7 · pith_short_8: 7OO4HPRR

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/7OO4HPRR3Z4FJMW7TUAEESIJ2A \
  | 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: fb9dc3be31de7854b2df9d00424909d00eb6ff31181f1173893b8273e9e2bbb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df70fe1f5ebae3e3eab49cd81a60a90db22f03b55743a28fb647e2c3b687ec01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-11T19:08:55Z",
    "title_canon_sha256": "f58803fcdb3dd4052c5652fbc4675a37dac4eeacb73dd45fec06b6d74c3a1ab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2820",
    "kind": "arxiv",
    "version": 1
  }
}