Pith Number

pith:JGIMDTIB

pith:2012:JGIMDTIBZ46G7SSLUACLB67FX6

not attested not anchored not stored refs pending

Ptolemy groupoids, shear coordinates and the augmented Teichmuller space

Julien Roger

arxiv:1210.5509 v2 · 2012-10-19 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGIMDTIBZ46G7SSLUACLB67FX6}

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	2026-05-18T03:22:17.334331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4990c1cd01cf3c6fca4ba004b0fbe5bf91e01e95d0f5f723f942af041bd33a08

Aliases

arxiv: 1210.5509 · arxiv_version: 1210.5509v2 · doi: 10.48550/arxiv.1210.5509 · pith_short_12: JGIMDTIBZ46G · pith_short_16: JGIMDTIBZ46G7SSL · pith_short_8: JGIMDTIB

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/JGIMDTIBZ46G7SSLUACLB67FX6 \
  | 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: 4990c1cd01cf3c6fca4ba004b0fbe5bf91e01e95d0f5f723f942af041bd33a08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56266f99056c190716837391a6072a33f03b06a84aa89b857b0a97f7f7fce31b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-19T19:50:17Z",
    "title_canon_sha256": "35b37d5b2bb32b6d9e68365a54cb02073dbd7c149fd95fdc0d0d8781e680d4b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5509",
    "kind": "arxiv",
    "version": 2
  }
}