Pith Number

pith:2TC3UFO4

pith:2016:2TC3UFO4A2CXTF5X5G4YY5KXYI

not attested not anchored not stored refs pending

Fluctuations of bridges, reciprocal characteristics, and concentration of measure

Giovanni Conforti

arxiv:1602.07231 v2 · 2016-02-23 · 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{2TC3UFO4A2CXTF5X5G4YY5KXYI}

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	2026-05-18T01:19:33.714540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4c5ba15dc06857997b7e9b98c7557c231da1427d968662ec7346b83b97ce6e5

Aliases

arxiv: 1602.07231 · arxiv_version: 1602.07231v2 · doi: 10.48550/arxiv.1602.07231 · pith_short_12: 2TC3UFO4A2CX · pith_short_16: 2TC3UFO4A2CXTF5X · pith_short_8: 2TC3UFO4

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/2TC3UFO4A2CXTF5X5G4YY5KXYI \
  | 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: d4c5ba15dc06857997b7e9b98c7557c231da1427d968662ec7346b83b97ce6e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e57155d6a9066401f46222f4b859ea20ce7cbc08a0015e2455e6a2717cbde6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-23T16:55:20Z",
    "title_canon_sha256": "d89f1c30765e442aaf27a02ba41f8a8f7132c85c1ceddf89841522c5eb89399a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07231",
    "kind": "arxiv",
    "version": 2
  }
}