Pith Number

pith:QJGKSY7L

pith:2004:QJGKSY7L2DEQXQW7YRBSSPMTGM

not attested not anchored not stored refs pending

On Quantizing Teichm\"uller and Thurston theories

L. Chekhov, R. C. Penner

arxiv:math/0403247 v1 · 2004-03-15 · math.AG · 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{QJGKSY7L2DEQXQW7YRBSSPMTGM}

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	2026-07-04T14:38:25.964399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

824ca963ebd0c90bc2dfc443293d933335b1116672e4214deca30855d74d7869

Aliases

arxiv: math/0403247 · arxiv_version: math/0403247v1 · doi: 10.48550/arxiv.math/0403247 · pith_short_12: QJGKSY7L2DEQ · pith_short_16: QJGKSY7L2DEQXQW7 · pith_short_8: QJGKSY7L

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/QJGKSY7L2DEQXQW7YRBSSPMTGM \
  | 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: 824ca963ebd0c90bc2dfc443293d933335b1116672e4214deca30855d74d7869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e3cec6476911d8494e2350ae2d642aace1a11570dab324540499b40ad9dbb3a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-03-15T15:51:46Z",
    "title_canon_sha256": "6925f8920bedb2e156c957caec7e023be62c0dfc6ca5838e565b85bd572c2df0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403247",
    "kind": "arxiv",
    "version": 1
  }
}