Pith Number

pith:QUXMLH4K

pith:2004:QUXMLH4KPEIS7NXCQIKAEMPIXI

not attested not anchored not stored refs pending

A descent principle for the Dirac dual Dirac method

Heath Emerson, Ralf Meyer

arxiv:math/0405388 v2 · 2004-05-20 · math.OA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QUXMLH4KPEIS7NXCQIKAEMPIXI}

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	2026-05-18T01:29:30.169380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

852ec59f8a79112fb6e282140231e8ba0521acd28a0653d3b96e0742b7621d65

Aliases

arxiv: math/0405388 · arxiv_version: math/0405388v2 · doi: 10.48550/arxiv.math/0405388 · pith_short_12: QUXMLH4KPEIS · pith_short_16: QUXMLH4KPEIS7NXC · pith_short_8: QUXMLH4K

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/QUXMLH4KPEIS7NXCQIKAEMPIXI \
  | 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: 852ec59f8a79112fb6e282140231e8ba0521acd28a0653d3b96e0742b7621d65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f611ff7760c63a78f0944c926494841b70cdcb26c983fb49d69b51db2725f69",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2004-05-20T08:10:47Z",
    "title_canon_sha256": "56ad05174b09d8ede29ea3cf5a81a892fd27f833527ac3490ac95b13a5f91d81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405388",
    "kind": "arxiv",
    "version": 2
  }
}