Pith Number

pith:3O3X3XIW

pith:2015:3O3X3XIWJ7SJL6CCNCQEASETDX

not attested not anchored not stored refs pending

Phase Transitions for the Uniform Distribution in the PML Problem and its Bethe Approximation

Chun Lam Chan, Manjunath Krishnapur, Navin Kashyap, Winston Fernandes

arxiv:1506.00753 v1 · 2015-06-02 · cs.DM · cs.IT · math.IT · 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{3O3X3XIWJ7SJL6CCNCQEASETDX}

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	2026-05-18T01:59:51.300161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbb77ddd164fe495f84268a04048931dfa816c6296848d8a870f13e5222cdbf6

Aliases

arxiv: 1506.00753 · arxiv_version: 1506.00753v1 · doi: 10.48550/arxiv.1506.00753 · pith_short_12: 3O3X3XIWJ7SJ · pith_short_16: 3O3X3XIWJ7SJL6CC · pith_short_8: 3O3X3XIW

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/3O3X3XIWJ7SJL6CCNCQEASETDX \
  | 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: dbb77ddd164fe495f84268a04048931dfa816c6296848d8a870f13e5222cdbf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb78049aaa071ebb04b3729078e9e1c6458dccac446db7ce643b77219a122fec",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-06-02T05:21:59Z",
    "title_canon_sha256": "d586dfa8fedc918c440bff6a7935779027cbb6a8332c32ac04fdd4891d5048dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00753",
    "kind": "arxiv",
    "version": 1
  }
}