Pith Number

pith:NO54CUSR

pith:2015:NO54CUSR6JQWGPOGBTOT4PEUPM

not attested not anchored not stored refs pending

A note on applications of the d-invariant and Donaldson's theorem

Joshua Evan Greene

arxiv:1512.08244 v1 · 2015-12-27 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NO54CUSR6JQWGPOGBTOT4PEUPM}

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	2026-05-18T01:23:42.839131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bbbc15251f261633dc60cdd3e3c947b00102eb8467427780e2116da79cf8977

Aliases

arxiv: 1512.08244 · arxiv_version: 1512.08244v1 · doi: 10.48550/arxiv.1512.08244 · pith_short_12: NO54CUSR6JQW · pith_short_16: NO54CUSR6JQWGPOG · pith_short_8: NO54CUSR

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/NO54CUSR6JQWGPOGBTOT4PEUPM \
  | 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: 6bbbc15251f261633dc60cdd3e3c947b00102eb8467427780e2116da79cf8977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "590c895991a09574818eb9fbcfa426cb4dc7de9417b65fe8014218512d0b009e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-27T17:20:38Z",
    "title_canon_sha256": "d329976ee402d3e0d1323be0c3b8432901c8473275567d10de8b69dcdec8a2d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08244",
    "kind": "arxiv",
    "version": 1
  }
}