Pith Number

pith:YXY7YP2R

pith:2003:YXY7YP2RMLCHUZET4AUM7YHWJD

not attested not anchored not stored refs pending

Localization-delocalization phenomena for random interfaces

Erwin Bolthausen

arxiv:math/0304366 v1 · 2003-04-24 · 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{YXY7YP2RMLCHUZET4AUM7YHWJD}

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	2026-05-18T01:05:28.954250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5f1fc3f5162c47a6493e028cfe0f648ee43e587c299762837ef5bbc829d663e

Aliases

arxiv: math/0304366 · arxiv_version: math/0304366v1 · doi: 10.48550/arxiv.math/0304366 · pith_short_12: YXY7YP2RMLCH · pith_short_16: YXY7YP2RMLCHUZET · pith_short_8: YXY7YP2R

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/YXY7YP2RMLCHUZET4AUM7YHWJD \
  | 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: c5f1fc3f5162c47a6493e028cfe0f648ee43e587c299762837ef5bbc829d663e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d9fabd96b6b1510465cf148af72a0baa7307d7440ac844f30e9a18eeeedccc5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2003-04-24T03:00:26Z",
    "title_canon_sha256": "aeb3c0a9481bccf0fcd6d551a66af41856409eb030ec540cdee8d51fe7c1eb59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304366",
    "kind": "arxiv",
    "version": 1
  }
}