Pith Number

pith:7SXKYNIL

pith:2002:7SXKYNILGM7PPHKTZSRSNRNUHM

not attested not anchored not stored refs pending

4-manifolds as covers of the 4-sphere branched over non-singular surfaces

Massimiliano Iori, Riccardo Piergallini

arxiv:math/0203087 v2 · 2002-03-09 · 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{7SXKYNILGM7PPHKTZSRSNRNUHM}

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	2026-05-18T02:38:00.691431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcaeac350b333ef79d53cca326c5b43b0c01c4abf92fd893f3ca2e337649fc8d

Aliases

arxiv: math/0203087 · arxiv_version: math/0203087v2 · doi: 10.48550/arxiv.math/0203087 · pith_short_12: 7SXKYNILGM7P · pith_short_16: 7SXKYNILGM7PPHKT · pith_short_8: 7SXKYNIL

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/7SXKYNILGM7PPHKTZSRSNRNUHM \
  | 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: fcaeac350b333ef79d53cca326c5b43b0c01c4abf92fd893f3ca2e337649fc8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52b2ec68d79ee1bb05bb26943d057cc18194bb2e7890e6d85d252ba1911e137c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-03-09T14:17:33Z",
    "title_canon_sha256": "2ece16f2f35ac19244a28b88af2fa7288141d8f26a2f6fd8b49e0cba269e5918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203087",
    "kind": "arxiv",
    "version": 2
  }
}