Pith Number

pith:45JNCM4B

pith:2014:45JNCM4BQOJYYTVFHMBD3PZPMQ

not attested not anchored not stored refs pending

Maximums on Trees

Mariana Olvera-Cravioto, Predrag R. Jelenkovic

arxiv:1405.6265 v1 · 2014-05-24 · 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{45JNCM4BQOJYYTVFHMBD3PZPMQ}

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	2026-05-18T02:51:07.660095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e752d1338183938c4ea53b023dbf2f6407ab722c8806ec22f33672f6089a2984

Aliases

arxiv: 1405.6265 · arxiv_version: 1405.6265v1 · doi: 10.48550/arxiv.1405.6265 · pith_short_12: 45JNCM4BQOJY · pith_short_16: 45JNCM4BQOJYYTVF · pith_short_8: 45JNCM4B

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/45JNCM4BQOJYYTVFHMBD3PZPMQ \
  | 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: e752d1338183938c4ea53b023dbf2f6407ab722c8806ec22f33672f6089a2984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0828009212a72a42f9201cc3b2c91f7e00de568aa428d08222532961ced850be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-24T03:56:10Z",
    "title_canon_sha256": "1e1394080acf2d8743ea4e64c331846045aed2e0549f783e92b012884b32967f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6265",
    "kind": "arxiv",
    "version": 1
  }
}