Pith Number

pith:LDNBDPOA

pith:1994:LDNBDPOAWNLV6EE2UR4RNKQWAQ

not attested not anchored not stored refs pending

Algorithms for the indefinite and definite summation

Wolfram Koepf

arxiv:math/9412227 v1 · 1994-12-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDNBDPOAWNLV6EE2UR4RNKQWAQ}

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	2026-05-18T01:05:50.715870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58da11bdc0b3575f109aa47916aa16041803de72341d41ca90cc9e4a30b82959

Aliases

arxiv: math/9412227 · arxiv_version: math/9412227v1 · doi: 10.48550/arxiv.math/9412227 · pith_short_12: LDNBDPOAWNLV · pith_short_16: LDNBDPOAWNLV6EE2 · pith_short_8: LDNBDPOA

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/LDNBDPOAWNLV6EE2UR4RNKQWAQ \
  | 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: 58da11bdc0b3575f109aa47916aa16041803de72341d41ca90cc9e4a30b82959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "099d18f17208c4134f3c8f38a203fdb1a6dba8aef11e63a37d782d8736a196db",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "1994-12-17T00:00:00Z",
    "title_canon_sha256": "697f4e5cdd91575b09add824e5d9017dbed403c3cddd75ef9dba6c0bee77c6a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9412227",
    "kind": "arxiv",
    "version": 1
  }
}