Pith Number

pith:C56UY5H3

pith:2017:C56UY5H37RNYJVAXGRQ4EZX73E

not attested not anchored not stored refs pending

The 4-Dimensional Light Bulb Theorem (after David Gabai)

Robert D. Edwards

arxiv:1709.04306 v1 · 2017-09-13 · 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{C56UY5H37RNYJVAXGRQ4EZX73E}

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	2026-05-18T00:35:14.745770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

177d4c74fbfc5b84d4173461c266ffd938400f6cfca60ffc28706bdc35b36477

Aliases

arxiv: 1709.04306 · arxiv_version: 1709.04306v1 · doi: 10.48550/arxiv.1709.04306 · pith_short_12: C56UY5H37RNY · pith_short_16: C56UY5H37RNYJVAX · pith_short_8: C56UY5H3

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/C56UY5H37RNYJVAXGRQ4EZX73E \
  | 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: 177d4c74fbfc5b84d4173461c266ffd938400f6cfca60ffc28706bdc35b36477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5c6b94632bee529db38714d73f526f07696566f6d206b9d1642824466adb22b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-09-13T13:09:06Z",
    "title_canon_sha256": "d6ff1d6c8fd8a7f465436fbae9a4772b7a6db0c4be011ba35645e8869207119b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04306",
    "kind": "arxiv",
    "version": 1
  }
}