Pith Number

pith:3TVT5LDN

pith:2017:3TVT5LDNR5DQ4YPB2UJU2KPK3K

not attested not anchored not stored refs pending

$p_c$, $p_u$ and graph limits

Itai Benjamini

arxiv:1707.08544 v3 · 2017-07-26 · 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{3TVT5LDNR5DQ4YPB2UJU2KPK3K}

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	2026-05-18T00:27:19.295770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dceb3eac6d8f470e61e1d5134d29eadabad943f9d490cb30aff569c670cbd767

Aliases

arxiv: 1707.08544 · arxiv_version: 1707.08544v3 · doi: 10.48550/arxiv.1707.08544 · pith_short_12: 3TVT5LDNR5DQ · pith_short_16: 3TVT5LDNR5DQ4YPB · pith_short_8: 3TVT5LDN

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/3TVT5LDNR5DQ4YPB2UJU2KPK3K \
  | 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: dceb3eac6d8f470e61e1d5134d29eadabad943f9d490cb30aff569c670cbd767

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692dc155ef8637bd58f69ee0961ecebc3689a2633926287cd07dbd8b61a1fedb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-26T17:10:48Z",
    "title_canon_sha256": "e9065ce06165b1e8ca43774cd924a84734f6549f1a23a353bf5ee396d766dfa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08544",
    "kind": "arxiv",
    "version": 3
  }
}