Pith Number

pith:GIOPQV5M

pith:2016:GIOPQV5M5PP2PCWZOHHISPXDNB

not attested not anchored not stored refs pending

Refined universal laws for hull volumes and perimeters in large planar maps

Emmanuel Guitter

arxiv:1611.02871 v1 · 2016-11-09 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIOPQV5M5PP2PCWZOHHISPXDNB}

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	2026-05-18T00:30:22.483361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

321cf857acebdfa78ad971ce893ee36843b77298017ef05d9f9d47e425352e8e

Aliases

arxiv: 1611.02871 · arxiv_version: 1611.02871v1 · doi: 10.48550/arxiv.1611.02871 · pith_short_12: GIOPQV5M5PP2 · pith_short_16: GIOPQV5M5PP2PCWZ · pith_short_8: GIOPQV5M

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/GIOPQV5M5PP2PCWZOHHISPXDNB \
  | 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: 321cf857acebdfa78ad971ce893ee36843b77298017ef05d9f9d47e425352e8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8980e1e6373840e998725d2cde1685a6f41556083e2b2d52584a494177c9597",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-09T10:01:46Z",
    "title_canon_sha256": "026960a67533c81d10b84df37e507c88076df969337e62b7d1b96a0ca23a418a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02871",
    "kind": "arxiv",
    "version": 1
  }
}