Pith Number

pith:5U4RRWFQ

pith:2011:5U4RRWFQPLOFZDFGFJ6AZTS3UO

not attested not anchored not stored refs pending

Fivebranes and Knots

Edward Witten

arxiv:1101.3216 v2 · 2011-01-17 · hep-th · math.GT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5U4RRWFQPLOFZDFGFJ6AZTS3UO}

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.

Cited by

1 paper in Pith

A supergroup series for knot complements

Receipt and verification

First computed	2026-05-18T04:15:47.967179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed3918d8b07adc5c8ca62a7c0cce5ba3a9fddd0669792cbeabf99ab60186dfdf

Aliases

arxiv: 1101.3216 · arxiv_version: 1101.3216v2 · doi: 10.48550/arxiv.1101.3216 · pith_short_12: 5U4RRWFQPLOF · pith_short_16: 5U4RRWFQPLOFZDFG · pith_short_8: 5U4RRWFQ

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/5U4RRWFQPLOFZDFGFJ6AZTS3UO \
  | 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: ed3918d8b07adc5c8ca62a7c0cce5ba3a9fddd0669792cbeabf99ab60186dfdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8653a4744d8da80c2a13d1c6fb46cb2bc36ff5cf07894f1362736cbc70b7739b",
    "cross_cats_sorted": [
      "math.GT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-01-17T14:02:48Z",
    "title_canon_sha256": "bf6dbfb655b353eab9161252449e96e9af9dd548c8c3acc88ec7ea31a6b644d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3216",
    "kind": "arxiv",
    "version": 2
  }
}