Pith Number

pith:HKMKWR7F

pith:2015:HKMKWR7FFNTF545EFJWTB6BLPX

not attested not anchored not stored refs pending

Comment on a theorem of Hamilton

Richard Cushman

arxiv:1501.01354 v1 · 2015-01-07 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKMKWR7FFNTF545EFJWTB6BLPX}

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	2026-05-18T02:29:54.455437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a98ab47e52b665ef3a42a6d30f82b7df83079612ec4de9bca94a3c100e2cd81

Aliases

arxiv: 1501.01354 · arxiv_version: 1501.01354v1 · doi: 10.48550/arxiv.1501.01354 · pith_short_12: HKMKWR7FFNTF · pith_short_16: HKMKWR7FFNTF545E · pith_short_8: HKMKWR7F

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/HKMKWR7FFNTF545EFJWTB6BLPX \
  | 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: 3a98ab47e52b665ef3a42a6d30f82b7df83079612ec4de9bca94a3c100e2cd81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5be0c0ba402e6a53531607343097653c04a4e7ed9dd3b3bdb77cf8388cc8f080",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-01-07T02:46:43Z",
    "title_canon_sha256": "8f78492cd3c1ae95e7d2a71d285f4e5b699a1efbad904e7042f6375018c2899c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01354",
    "kind": "arxiv",
    "version": 1
  }
}