Pith Number

pith:XXWTMWFH

pith:2003:XXWTMWFHNDTNFRGULDY7BX6SSS

not attested not anchored not stored refs pending

Exact sequences for equivariantly formal spaces

Matthias Franz, Volker Puppe

arxiv:math/0307112 v3 · 2003-07-09 · math.AT · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXWTMWFHNDTNFRGULDY7BX6SSS}

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	2026-05-18T04:30:14.953987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bded3658a768e6d2c4d458f1f0dfd294adffc59ac0bd081d5679ba0ea58a19c9

Aliases

arxiv: math/0307112 · arxiv_version: math/0307112v3 · doi: 10.48550/arxiv.math/0307112 · pith_short_12: XXWTMWFHNDTN · pith_short_16: XXWTMWFHNDTNFRGU · pith_short_8: XXWTMWFH

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/XXWTMWFHNDTNFRGULDY7BX6SSS \
  | 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: bded3658a768e6d2c4d458f1f0dfd294adffc59ac0bd081d5679ba0ea58a19c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2eceebe720d941bcc44d8aa922017bd4f688806c1c55f00544911a849537ced",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2003-07-09T14:41:55Z",
    "title_canon_sha256": "977fb655401ff3931035a66ef7f2397fd92fde8e59fce19e5d2a9874d2502534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307112",
    "kind": "arxiv",
    "version": 3
  }
}