Pith Number

pith:PAWE4QND

pith:2008:PAWE4QNDG2IDAXPORR7OBKKUQ7

not attested not anchored not stored refs pending

Discrete Symbol Calculus

Laurent Demanet, Lexing Ying

arxiv:0807.0257 v1 · 2008-07-01 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAWE4QNDG2IDAXPORR7OBKKUQ7}

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	2026-06-03T22:06:07.608174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

782c4e41a33690305dee8c7ee0a95487f66da600c64957d741dc60290c531d55

Aliases

arxiv: 0807.0257 · arxiv_version: 0807.0257v1 · doi: 10.48550/arxiv.0807.0257 · pith_short_12: PAWE4QNDG2ID · pith_short_16: PAWE4QNDG2IDAXPO · pith_short_8: PAWE4QND

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/PAWE4QNDG2IDAXPORR7OBKKUQ7 \
  | 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: 782c4e41a33690305dee8c7ee0a95487f66da600c64957d741dc60290c531d55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a738ba103c76769fa612e4856f99708e9b6034f86fcd65337108cbf48b9266f9",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-07-01T23:46:50Z",
    "title_canon_sha256": "23b30e3db09617b5f2ad6305a9ed825d1ba8611eff589c2715abccfc2146c47d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.0257",
    "kind": "arxiv",
    "version": 1
  }
}