Pith Number

pith:ZNSEDPGV

pith:2004:ZNSEDPGVNFLVHI7QPZZDMDOACL

not attested not anchored not stored refs pending

The cobordism class of the multiple points of immersions

G\'abor Braun

arxiv:math/0409574 v3 · 2004-09-29 · 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{ZNSEDPGVNFLVHI7QPZZDMDOACL}

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	2026-05-18T02:41:32.291855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb6441bcd5695753a3f07e72360dc012d48479df2d94a757508f0232ea2c541f

Aliases

arxiv: math/0409574 · arxiv_version: math/0409574v3 · doi: 10.48550/arxiv.math/0409574 · pith_short_12: ZNSEDPGVNFLV · pith_short_16: ZNSEDPGVNFLVHI7Q · pith_short_8: ZNSEDPGV

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/ZNSEDPGVNFLVHI7QPZZDMDOACL \
  | 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: cb6441bcd5695753a3f07e72360dc012d48479df2d94a757508f0232ea2c541f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4734f37994fb839a60f29a254f8d867a997086e50a1dc862f9cc813d493eae1c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2004-09-29T14:47:31Z",
    "title_canon_sha256": "7c2f17f1a062e95ccd3c86dbec78a9e48479980be90da943d1eb3da9382cd91d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409574",
    "kind": "arxiv",
    "version": 3
  }
}