Pith Number

pith:3WDBD4NX

pith:2016:3WDBD4NXHBW753U4BD3M2E3GML

not attested not anchored not stored refs pending

Region-Based Borsuk-Ulam Theorem and Wired Friend Theorem

A. Tozzi, J.F. Peters

arxiv:1605.02987 v3 · 2016-05-10 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WDBD4NXHBW753U4BD3M2E3GML}

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	2026-05-18T01:10:14.398875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd8611f1b7386dfeee9c08f6cd136662d990942debd9622a9d56fc623e15d7de

Aliases

arxiv: 1605.02987 · arxiv_version: 1605.02987v3 · doi: 10.48550/arxiv.1605.02987 · pith_short_12: 3WDBD4NXHBW7 · pith_short_16: 3WDBD4NXHBW753U4 · pith_short_8: 3WDBD4NX

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/3WDBD4NXHBW753U4BD3M2E3GML \
  | 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: dd8611f1b7386dfeee9c08f6cd136662d990942debd9622a9d56fc623e15d7de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "513385b6187335397505ec5aea504095d995c19d4870e2e195cf144855c3d3f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-05-10T12:50:13Z",
    "title_canon_sha256": "0f2d1803cb419d7498dc88996c90e75168eee869beeeed13b0acea9ffe9632b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02987",
    "kind": "arxiv",
    "version": 3
  }
}