Pith Number

pith:YQ4RPKPC

pith:2004:YQ4RPKPCSKXUZ2YFSWIARQTYGE

not attested not anchored not stored refs pending

Duality and Pro-Spectra

Daniel C. Isaksen, J. Daniel Christensen

arxiv:math/0403451 v2 · 2004-03-25 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQ4RPKPCSKXUZ2YFSWIARQTYGE}

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	2026-05-18T02:41:32.488985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c43917a9e292af4ceb05959008c278310e59b1e9cfedc47b2bea89e7e04d7f84

Aliases

arxiv: math/0403451 · arxiv_version: math/0403451v2 · doi: 10.48550/arxiv.math/0403451 · pith_short_12: YQ4RPKPCSKXU · pith_short_16: YQ4RPKPCSKXUZ2YF · pith_short_8: YQ4RPKPC

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/YQ4RPKPCSKXUZ2YFSWIARQTYGE \
  | 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: c43917a9e292af4ceb05959008c278310e59b1e9cfedc47b2bea89e7e04d7f84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ad9e0f04781389a1d9e4c849a078f140854ffd80c5672d00516dc8dd94a2150",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2004-03-25T21:41:37Z",
    "title_canon_sha256": "27eb9c237ce30a2814c65d1f98ba6c7ee9e76e9371ee54a149eb23e87a390c59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403451",
    "kind": "arxiv",
    "version": 2
  }
}