Pith Number

pith:BWSA3KG7

pith:2024:BWSA3KG7F46PB6G7PZPHUKBUCV

not attested not anchored not stored refs pending

Sparse maps

Elia Portnoy

arxiv:2407.05137 v2 · 2024-07-06 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWSA3KG7F46PB6G7PZPHUKBUCV}

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

Milnor invariants and thickness of spherical links

Receipt and verification

First computed	2026-07-05T08:53:23.825938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0da40da8df2f3cf0f8df7e5e7a28341545a67975ffb2bd863ff030763a29a58e

Aliases

arxiv: 2407.05137 · arxiv_version: 2407.05137v2 · doi: 10.48550/arxiv.2407.05137 · pith_short_12: BWSA3KG7F46P · pith_short_16: BWSA3KG7F46PB6G7 · pith_short_8: BWSA3KG7

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/BWSA3KG7F46PB6G7PZPHUKBUCV \
  | 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: 0da40da8df2f3cf0f8df7e5e7a28341545a67975ffb2bd863ff030763a29a58e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55a78966bab281ca0f1d3bda3664316f5913359cc36b1c233a6954cf4a5909f0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2024-07-06T17:24:06Z",
    "title_canon_sha256": "0452987750b1e8d733f353e768fe572b7ec1e8fc9a160f5a7c33f82c8c350e3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.05137",
    "kind": "arxiv",
    "version": 2
  }
}