Pith Number

pith:LMXPZD3R

pith:2005:LMXPZD3RCC57FROJST3RIFSHMK

not attested not anchored not stored refs pending

An analog of a modular functor from quantized Teichm"uller theory

J. Teschner

arxiv:math/0510174 v4 · 2005-10-09 · math.QA · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMXPZD3RCC57FROJST3RIFSHMK}

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	2026-07-04T15:00:01.939813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b2efc8f7110bbf2c5c994f714164762bc9bd32097e9ac4f0aea79eb65d46644

Aliases

arxiv: math/0510174 · arxiv_version: math/0510174v4 · doi: 10.48550/arxiv.math/0510174 · pith_short_12: LMXPZD3RCC57 · pith_short_16: LMXPZD3RCC57FROJ · pith_short_8: LMXPZD3R

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/LMXPZD3RCC57FROJST3RIFSHMK \
  | 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: 5b2efc8f7110bbf2c5c994f714164762bc9bd32097e9ac4f0aea79eb65d46644

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9853df02d4b0cd2d87dcbd078b10173970b21684c8e018f93ab090e8ec9f13a9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-10-09T15:43:50Z",
    "title_canon_sha256": "95153789a17768fdc843c0eb726589320e2f20df3a74b020de1c16886c984924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510174",
    "kind": "arxiv",
    "version": 4
  }
}