Pith Number

pith:X4EXQYVU

pith:2005:X4EXQYVUEJRH6ELRSNMAM6KU7U

not attested not anchored not stored refs pending

An algorithmic approach to resolutions

Edward L. Green, {\O}yvind Solberg

arxiv:math/0509020 v1 · 2005-09-01 · math.KT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4EXQYVUEJRH6ELRSNMAM6KU7U}

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.

Cited by

1 paper in Pith

Line Bundle Resolutions via the Coherent-Constructible Correspondence

Receipt and verification

First computed	2026-07-04T17:22:27.437238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf097862b422627f11719358067954fd2978a55b105946fe7f5fac127e3a32b0

Aliases

arxiv: math/0509020 · arxiv_version: math/0509020v1 · doi: 10.48550/arxiv.math/0509020 · pith_short_12: X4EXQYVUEJRH · pith_short_16: X4EXQYVUEJRH6ELR · pith_short_8: X4EXQYVU

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/X4EXQYVUEJRH6ELRSNMAM6KU7U \
  | 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: bf097862b422627f11719358067954fd2978a55b105946fe7f5fac127e3a32b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5bb107350ac4e23a0489bf88a2aed8f1584491d0b63084278938a3d3af73da4",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2005-09-01T14:40:30Z",
    "title_canon_sha256": "fd94e5943b20de871e5116cb2ba7040c3a1acd642279d6da3e5c035a9defad5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509020",
    "kind": "arxiv",
    "version": 1
  }
}