Pith Number

pith:EXXYUOS5

pith:2000:EXXYUOS5WIEHWCKDKNXBVFQMLS

not attested not anchored not stored refs pending

Discrete approximations to integrals over unparametrized paths

B. Durhuus, T. Jonsson

arxiv:math-ph/0010019 v1 · 2000-10-17 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXXYUOS5WIEHWCKDKNXBVFQMLS}

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	2026-05-18T01:38:34.629746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25ef8a3a5db2087b0943536e1a960c5ca231e03e9ab098f7f93907bb46753060

Aliases

arxiv: math-ph/0010019 · arxiv_version: math-ph/0010019v1 · doi: 10.48550/arxiv.math-ph/0010019 · pith_short_12: EXXYUOS5WIEH · pith_short_16: EXXYUOS5WIEHWCKD · pith_short_8: EXXYUOS5

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/EXXYUOS5WIEHWCKDKNXBVFQMLS \
  | 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: 25ef8a3a5db2087b0943536e1a960c5ca231e03e9ab098f7f93907bb46753060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61906664c9918d46e1feaee83cbea96a429f24595d6323bcdc7898e57b2eb068",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-10-17T17:03:21Z",
    "title_canon_sha256": "ce48e97d29727344176bcfd7d77fa49dc3302eb2fc8a1ed88f88006fabb8d5e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0010019",
    "kind": "arxiv",
    "version": 1
  }
}