Pith Number

pith:K77RBFLY

pith:2013:K77RBFLYM556F7UZ6KWKNK34TK

not attested not anchored not stored refs pending

Equivalence of string and fusion loop-spin structures

Chris Kottke, Richard Melrose

arxiv:1309.0210 v1 · 2013-09-01 · math.DG · math-ph · math.AT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K77RBFLYM556F7UZ6KWKNK34TK}

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	2026-05-18T03:14:28.577208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57ff109578677be2fe99f2aca6ab7c9a9258a761a438e502ef994f54c377e594

Aliases

arxiv: 1309.0210 · arxiv_version: 1309.0210v1 · doi: 10.48550/arxiv.1309.0210 · pith_short_12: K77RBFLYM556 · pith_short_16: K77RBFLYM556F7UZ · pith_short_8: K77RBFLY

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/K77RBFLYM556F7UZ6KWKNK34TK \
  | 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: 57ff109578677be2fe99f2aca6ab7c9a9258a761a438e502ef994f54c377e594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92de127bd5a5386dc01e384bfb6960436cbbe69c0920c9885d9459caf69dd3cd",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-01T12:12:39Z",
    "title_canon_sha256": "12775f80a7b532ca69bbec0e07b9d1b48a5fd14860b4536e19ceda51af530732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0210",
    "kind": "arxiv",
    "version": 1
  }
}