Pith Number

pith:VPHABYFM

pith:2019:VPHABYFMS6BFZUJYG4PJMUGCM2

not attested not anchored not stored refs pending

From Euclid to Riemann and Beyond

Toshikazu Sunada

arxiv:1904.01845 v1 · 2019-04-03 · 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{VPHABYFMS6BFZUJYG4PJMUGCM2}

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	2026-05-17T23:49:29.498115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abce00e0ac97825cd138371e9650c2668da0a4a09a2a977fd78db4d35469757c

Aliases

arxiv: 1904.01845 · arxiv_version: 1904.01845v1 · doi: 10.48550/arxiv.1904.01845 · pith_short_12: VPHABYFMS6BF · pith_short_16: VPHABYFMS6BFZUJY · pith_short_8: VPHABYFM

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/VPHABYFMS6BFZUJYG4PJMUGCM2 \
  | 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: abce00e0ac97825cd138371e9650c2668da0a4a09a2a977fd78db4d35469757c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af0d9df94638e70719c05a5b15a276ec45c8a72bb8d63c5b7c0a44419fd0302",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2019-04-03T08:29:16Z",
    "title_canon_sha256": "62ae6c4ca08dcaadd6601d81658ae11b7aa39706b5862f9438c97eb6dd6d40e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01845",
    "kind": "arxiv",
    "version": 1
  }
}