Pith Number

pith:EVX3MUW7

pith:2004:EVX3MUW7U4C2ZIH5NRQBFZQTKA

not attested not anchored not stored refs pending

Mystery of point charges

Andrei Gabrielov (Purdue University), Boris Shapiro (University of Stockholm), Dmitry Novikov (Cornell University)

arxiv:math-ph/0409009 v1 · 2004-09-03 · math-ph · 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{EVX3MUW7U4C2ZIH5NRQBFZQTKA}

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	2026-07-04T14:34:01.940309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

256fb652dfa705aca0fd6c6012e61350135a381c74691d5635ffbc01fa427061

Aliases

arxiv: math-ph/0409009 · arxiv_version: math-ph/0409009v1 · doi: 10.48550/arxiv.math-ph/0409009 · pith_short_12: EVX3MUW7U4C2 · pith_short_16: EVX3MUW7U4C2ZIH5 · pith_short_8: EVX3MUW7

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/EVX3MUW7U4C2ZIH5NRQBFZQTKA \
  | 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: 256fb652dfa705aca0fd6c6012e61350135a381c74691d5635ffbc01fa427061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d48761be5ffdb1e8377d74de40735217e5cf2f5d19d7207d17755f9a37493181",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-09-03T16:23:39Z",
    "title_canon_sha256": "c8f76084b14c6917958f061bbd3ce0f649ab4a968c8c131e6591ed3dee9880e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0409009",
    "kind": "arxiv",
    "version": 1
  }
}