Pith Number

pith:DJB3DSWG

pith:2014:DJB3DSWGRSQUYXW3KKHJCCYA2L

not attested not anchored not stored refs pending

Criticality, universality, and isoradiality

Geoffrey R. Grimmett

arxiv:1404.2831 v1 · 2014-04-10 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJB3DSWGRSQUYXW3KKHJCCYA2L}

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	2026-05-18T02:54:28.423597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a43b1cac68ca14c5edb528e910b00d2e145b3cafae13c5264cf9002c0b58099

Aliases

arxiv: 1404.2831 · arxiv_version: 1404.2831v1 · doi: 10.48550/arxiv.1404.2831 · pith_short_12: DJB3DSWGRSQU · pith_short_16: DJB3DSWGRSQUYXW3 · pith_short_8: DJB3DSWG

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/DJB3DSWGRSQUYXW3KKHJCCYA2L \
  | 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: 1a43b1cac68ca14c5edb528e910b00d2e145b3cafae13c5264cf9002c0b58099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd4a5ca8464ba4d79b700d771435a07ad015a5d52dfc8b8f077eb597af18da95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-10T14:45:48Z",
    "title_canon_sha256": "a4db915dbf64432ba4f0db3f9f21b6eb6b23647a9f3b9df68b9d574fac83a585"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2831",
    "kind": "arxiv",
    "version": 1
  }
}