Pith Number

pith:ZEGID7KT

pith:2011:ZEGID7KT5F64C3GCRPY7TV4T4B

not attested not anchored not stored refs pending

Iterating Brownian motions, ad libitum

Nicolas Curien, Takis Konstantopoulos

arxiv:1112.3776 v1 · 2011-12-16 · 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{ZEGID7KT5F64C3GCRPY7TV4T4B}

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	2026-05-18T04:06:08.832251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c90c81fd53e97dc16cc28bf1f9d793e05324a534c17a5da5c94b2a8c8ea16f38

Aliases

arxiv: 1112.3776 · arxiv_version: 1112.3776v1 · doi: 10.48550/arxiv.1112.3776 · pith_short_12: ZEGID7KT5F64 · pith_short_16: ZEGID7KT5F64C3GC · pith_short_8: ZEGID7KT

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/ZEGID7KT5F64C3GCRPY7TV4T4B \
  | 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: c90c81fd53e97dc16cc28bf1f9d793e05324a534c17a5da5c94b2a8c8ea16f38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1232b035b2d20fc0a58f4d3fc4a77c4af30320597b0a5082824c14efd1fb3da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-16T12:21:45Z",
    "title_canon_sha256": "785ac71c0c3064c4e24e3f5031151c69beef2961ff16de5d7c3d9385132b1405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3776",
    "kind": "arxiv",
    "version": 1
  }
}