Pith Number

pith:DLY5QWTT

pith:2013:DLY5QWTTLCI73PRKQL4YU2U6JI

not attested not anchored not stored refs pending

On the Virasoro constraints for torus knots

O. Dubinkin

arxiv:1307.7909 v2 · 2013-07-30 · hep-th · math-ph · 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{DLY5QWTTLCI73PRKQL4YU2U6JI}

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	2026-05-18T02:38:17.140653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1af1d85a735891fdbe2a82f98a6a9e4a3e1a38bcb7af3300f55fa8e825963b9a

Aliases

arxiv: 1307.7909 · arxiv_version: 1307.7909v2 · doi: 10.48550/arxiv.1307.7909 · pith_short_12: DLY5QWTTLCI7 · pith_short_16: DLY5QWTTLCI73PRK · pith_short_8: DLY5QWTT

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/DLY5QWTTLCI73PRKQL4YU2U6JI \
  | 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: 1af1d85a735891fdbe2a82f98a6a9e4a3e1a38bcb7af3300f55fa8e825963b9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97a1b0510dbe047128df03e67b85c0b078149df003c4ce3c344a28c26b879baa",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-07-30T11:14:39Z",
    "title_canon_sha256": "e9005b8a298459e3bbc760ef0997be719e113b459bc5a163564a409d04831de0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7909",
    "kind": "arxiv",
    "version": 2
  }
}