Pith Number

pith:OHL7OCYI

pith:2017:OHL7OCYIZE6PUZRWJ3MSQMLWET

not attested not anchored not stored refs pending

Dehn's Lemma for Immersed Loops

Martin Scharlemann, Michael Freedman

arxiv:1704.05507 v2 · 2017-04-18 · math.GT

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

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	2026-05-18T00:35:04.417851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71d7f70b08c93cfa66364ed928317624fe26782d948f8f2313f6c1ea87bf458e

Aliases

arxiv: 1704.05507 · arxiv_version: 1704.05507v2 · doi: 10.48550/arxiv.1704.05507 · pith_short_12: OHL7OCYIZE6P · pith_short_16: OHL7OCYIZE6PUZRW · pith_short_8: OHL7OCYI

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/OHL7OCYIZE6PUZRWJ3MSQMLWET \
  | 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: 71d7f70b08c93cfa66364ed928317624fe26782d948f8f2313f6c1ea87bf458e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d02aa095c388f6b2211096af0e02d40bf1d39d3ab1bce6c79205c754aef45fad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-04-18T20:06:49Z",
    "title_canon_sha256": "d84dd93a7a90f85f239ed30b5da45df6dfaca79f54bb26bcb5ea5b1b7888ad0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05507",
    "kind": "arxiv",
    "version": 2
  }
}