Pith Number

pith:FIZ5DPQ6

pith:2012:FIZ5DPQ6HUNHRIHWD6HVQFQE5T

not attested not anchored not stored refs pending

Lipschitz embeddings of random sequences

Allan Sly, Riddhipratim Basu

arxiv:1204.2931 v2 · 2012-04-13 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIZ5DPQ6HUNHRIHWD6HVQFQE5T}

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	2026-05-18T03:57:28.165501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a33d1be1e3d1a78a0f61f8f581604ecd54900e7cd76f6f3a5dbee8a6be85a67

Aliases

arxiv: 1204.2931 · arxiv_version: 1204.2931v2 · doi: 10.48550/arxiv.1204.2931 · pith_short_12: FIZ5DPQ6HUNH · pith_short_16: FIZ5DPQ6HUNHRIHW · pith_short_8: FIZ5DPQ6

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/FIZ5DPQ6HUNHRIHWD6HVQFQE5T \
  | 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: 2a33d1be1e3d1a78a0f61f8f581604ecd54900e7cd76f6f3a5dbee8a6be85a67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83b2ec9641a9b418cf079422c83dcc70b11282506701ca2fb8b5bd026d845ed4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-13T09:34:26Z",
    "title_canon_sha256": "91da56f35d1563e0aea7d1403f88992db1d07bd6a699b6cce36442aad413ccee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2931",
    "kind": "arxiv",
    "version": 2
  }
}