Pith Number

pith:PQPNNN3Q

pith:2013:PQPNNN3QYLYSNSHHTAVCZOK5RK

not attested not anchored not stored refs pending

2\pi-grafting and complex projective structures with generic holonomy

Shinpei Baba

arxiv:1307.2310 v4 · 2013-07-09 · 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{PQPNNN3QYLYSNSHHTAVCZOK5RK}

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	2026-05-18T00:37:49.124506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1ed6b770c2f126c8e7982a2cb95d8aba200dff075c4bb70d1575763d719344

Aliases

arxiv: 1307.2310 · arxiv_version: 1307.2310v4 · doi: 10.48550/arxiv.1307.2310 · pith_short_12: PQPNNN3QYLYS · pith_short_16: PQPNNN3QYLYSNSHH · pith_short_8: PQPNNN3Q

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/PQPNNN3QYLYSNSHHTAVCZOK5RK \
  | 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: 7c1ed6b770c2f126c8e7982a2cb95d8aba200dff075c4bb70d1575763d719344

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b71533c6850a25498061ea070b6e4b7a7684f294be2c5a75519ceb6f19aafac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-07-09T00:08:26Z",
    "title_canon_sha256": "ac4abc6f2d0ec6b3f19cc8db2fedfecdf00fb02b59fece7b2c3f4341ac055096"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2310",
    "kind": "arxiv",
    "version": 4
  }
}