Pith Number

pith:GAUCO2MB

pith:2015:GAUCO2MB32BDMMNEQ6X5TEXP3A

not attested not anchored not stored refs pending

Graphs of Systoles on hyperbolic surfaces

Bidyut Sanki, Siddhartha Gadgil

arxiv:1503.01891 v3 · 2015-03-06 · 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{GAUCO2MB32BDMMNEQ6X5TEXP3A}

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	2026-05-18T00:46:08.498547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3028276981de823631a487afd992efd826f11ed0e1809be1a56ebfc0d9fab759

Aliases

arxiv: 1503.01891 · arxiv_version: 1503.01891v3 · doi: 10.48550/arxiv.1503.01891 · pith_short_12: GAUCO2MB32BD · pith_short_16: GAUCO2MB32BDMMNE · pith_short_8: GAUCO2MB

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/GAUCO2MB32BDMMNEQ6X5TEXP3A \
  | 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: 3028276981de823631a487afd992efd826f11ed0e1809be1a56ebfc0d9fab759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5004dadfe231e3f0d7abdfd95d5a2557382ae42e752bc205401093f1624575de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-03-06T09:43:55Z",
    "title_canon_sha256": "71d1a67d94a184754a51e12b43064d7a41dbc8317dcb66bb12cb144ef7a7dc83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01891",
    "kind": "arxiv",
    "version": 3
  }
}