Pith Number

pith:D76PTA3B

pith:2011:D76PTA3BIPFTGWMBTSK5A7MMRC

not attested not anchored not stored refs pending

Elementary chains and compact spaces with a small diagonal

Alan Dow, Klaas Pieter Hart

arxiv:1109.1736 v1 · 2011-09-08 · math.GN · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D76PTA3BIPFTGWMBTSK5A7MMRC}

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	2026-05-18T03:50:22.053444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ffcf9836143cb3359819c95d07d8c888709092d95b0629f620cc0fb2e22d476

Aliases

arxiv: 1109.1736 · arxiv_version: 1109.1736v1 · doi: 10.48550/arxiv.1109.1736 · pith_short_12: D76PTA3BIPFT · pith_short_16: D76PTA3BIPFTGWMB · pith_short_8: D76PTA3B

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/D76PTA3BIPFTGWMBTSK5A7MMRC \
  | 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: 1ffcf9836143cb3359819c95d07d8c888709092d95b0629f620cc0fb2e22d476

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f456d95d069f35dc7f989efee9d509578422064c9b513f6f7ae74aa36ef187a",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-09-08T15:00:34Z",
    "title_canon_sha256": "be2a0344a363cc0da212f994a9216d18e8aae62b2b3eaa9a4f671a0d310c8ded"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1736",
    "kind": "arxiv",
    "version": 1
  }
}