Pith Number

pith:ODMOI7FD

pith:2011:ODMOI7FDSHAU64HFWHCU3CHZY5

not attested not anchored not stored refs pending

Ultrametric skeletons

Assaf Naor, Manor Mendel

arxiv:1112.3416 v2 · 2011-12-15 · math.MG · math.FA · 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{ODMOI7FDSHAU64HFWHCU3CHZY5}

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	2026-05-18T01:46:14.481995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70d8e47ca391c14f70e5b1c54d88f9c769f87f2cf6b9e5d22a3f31e78e6a8c6a

Aliases

arxiv: 1112.3416 · arxiv_version: 1112.3416v2 · doi: 10.48550/arxiv.1112.3416 · pith_short_12: ODMOI7FDSHAU · pith_short_16: ODMOI7FDSHAU64HF · pith_short_8: ODMOI7FD

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/ODMOI7FDSHAU64HFWHCU3CHZY5 \
  | 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: 70d8e47ca391c14f70e5b1c54d88f9c769f87f2cf6b9e5d22a3f31e78e6a8c6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23ea42775f785c67979692cd41f019c6d48ab62b4e2f48d2538b4c36ee93eb74",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-12-15T03:41:12Z",
    "title_canon_sha256": "d51586148d5e9b22fcfb55998569d18a371fc520e471517a66005b5394a034d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3416",
    "kind": "arxiv",
    "version": 2
  }
}