Pith Number

pith:OPJH2KKB

pith:2015:OPJH2KKB4BOEAXN7P3TJTVGL44

not attested not anchored not stored refs pending

Unlinking information from 4-manifolds

Brendan Owens, Matthias Nagel

arxiv:1503.03092 v2 · 2015-03-10 · 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{OPJH2KKB4BOEAXN7P3TJTVGL44}

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	2026-05-18T00:44:28.455719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d27d2941e05c405dbf7ee699d4cbe700325fb47cc8a165af34638066d084d4

Aliases

arxiv: 1503.03092 · arxiv_version: 1503.03092v2 · doi: 10.48550/arxiv.1503.03092 · pith_short_12: OPJH2KKB4BOE · pith_short_16: OPJH2KKB4BOEAXN7 · pith_short_8: OPJH2KKB

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/OPJH2KKB4BOEAXN7P3TJTVGL44 \
  | 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: 73d27d2941e05c405dbf7ee699d4cbe700325fb47cc8a165af34638066d084d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1974cccf3567501200ee03df93b25c988f88bae0db551ea0ca74df795a713f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-03-10T20:44:33Z",
    "title_canon_sha256": "ea6b3a1f39babd3197f521860ae78c2f1245b7fc7de6f7d4a800fc86274d191a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03092",
    "kind": "arxiv",
    "version": 2
  }
}