Pith Number

pith:7KBDWHPU

pith:2003:7KBDWHPUVYY6EJRIGTD4RWHB5S

not attested not anchored not stored refs pending

A universal ribbon surface in B^4

Daniele Zuddas, Riccardo Piergallini

arxiv:math/0308222 v1 · 2003-08-24 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KBDWHPUVYY6EJRIGTD4RWHB5S}

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	2026-05-18T04:07:43.389390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa823b1df4ae31e2262834c7c8d8e1ecb7b04a17edf2e44ef26d151c619719f5

Aliases

arxiv: math/0308222 · arxiv_version: math/0308222v1 · doi: 10.48550/arxiv.math/0308222 · pith_short_12: 7KBDWHPUVYY6 · pith_short_16: 7KBDWHPUVYY6EJRI · pith_short_8: 7KBDWHPU

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/7KBDWHPUVYY6EJRIGTD4RWHB5S \
  | 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: fa823b1df4ae31e2262834c7c8d8e1ecb7b04a17edf2e44ef26d151c619719f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d104c35d1ef081d2b85ef1f2d81b94753b8518602434eb8060f6117131f3051",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-08-24T22:56:10Z",
    "title_canon_sha256": "8a6ae2dccba6bb1a4ca0293fced45c13f78da0923a8218fa17834dbf2beb7226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0308222",
    "kind": "arxiv",
    "version": 1
  }
}