Pith Number

pith:X5YG576A

pith:2017:X5YG576ALSZPDUQDXXOLQJ4CXT

not attested not anchored not stored refs pending

Specialization, generalization, and a new proof of Vivinai's Theorem

Addie Armstrong, Dan McQuillan

arxiv:1701.01344 v1 · 2017-01-04 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5YG576ALSZPDUQDXXOLQJ4CXT}

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	2026-05-18T00:53:19.864340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf706effc05cb2f1d203bddcb82782bcc211dc2f0dd2a00e3727ce43fc109170

Aliases

arxiv: 1701.01344 · arxiv_version: 1701.01344v1 · doi: 10.48550/arxiv.1701.01344 · pith_short_12: X5YG576ALSZP · pith_short_16: X5YG576ALSZPDUQD · pith_short_8: X5YG576A

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/X5YG576ALSZPDUQDXXOLQJ4CXT \
  | 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: bf706effc05cb2f1d203bddcb82782bcc211dc2f0dd2a00e3727ce43fc109170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b502efaac324743462e690b85adca931876e6d02f3dcccd71c0b38fc36e89f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2017-01-04T20:09:44Z",
    "title_canon_sha256": "17c6bd49e3e21a6385fac2ced3a9070d5f9e3d22b4bff6d36b56b9504f4d6eee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01344",
    "kind": "arxiv",
    "version": 1
  }
}