Pith Number

pith:3PEOVLN7

pith:2016:3PEOVLN7NPQQWDU24NINPTVR7X

not attested not anchored not stored refs pending

Reduction methods for the bienergy

Andrea Ratto, Cezar Oniciuc, Stefano Montaldo

arxiv:1607.05992 v1 · 2016-07-20 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PEOVLN7NPQQWDU24NINPTVR7X}

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	2026-05-18T01:10:43.493128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbc8eaadbf6be10b0e9ae350d7ceb1fdf85269f3a2cdbe6dfae70339250fc1fa

Aliases

arxiv: 1607.05992 · arxiv_version: 1607.05992v1 · doi: 10.48550/arxiv.1607.05992 · pith_short_12: 3PEOVLN7NPQQ · pith_short_16: 3PEOVLN7NPQQWDU2 · pith_short_8: 3PEOVLN7

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/3PEOVLN7NPQQWDU24NINPTVR7X \
  | 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: dbc8eaadbf6be10b0e9ae350d7ceb1fdf85269f3a2cdbe6dfae70339250fc1fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0ba8bfe59aae1abaaa5d355cbc921fe8da0890b06ac01d04baf73b4a4b323ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-20T15:12:29Z",
    "title_canon_sha256": "da11b056df571c43e027d61474e2c5f349bbd362a4976e56fd5537f576c16acc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05992",
    "kind": "arxiv",
    "version": 1
  }
}