Pith Number

pith:PWBVJOHC

pith:2016:PWBVJOHCLVZ7VSBIKNMVJOTHM2

not attested not anchored not stored refs pending

Sphere systems, standard form, and cores of products of trees

Francesca Iezzi

arxiv:1610.08434 v1 · 2016-10-26 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWBVJOHCLVZ7VSBIKNMVJOTHM2}

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	2026-05-18T01:01:09.679106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d8354b8e25d73fac828535954ba67669d69d20245f6e83137978ce2f320d2ed

Aliases

arxiv: 1610.08434 · arxiv_version: 1610.08434v1 · doi: 10.48550/arxiv.1610.08434 · pith_short_12: PWBVJOHCLVZ7 · pith_short_16: PWBVJOHCLVZ7VSBI · pith_short_8: PWBVJOHC

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/PWBVJOHCLVZ7VSBIKNMVJOTHM2 \
  | 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: 7d8354b8e25d73fac828535954ba67669d69d20245f6e83137978ce2f320d2ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53ab125480dbed72009142b526ae25d8f24796ec14d7208d21564d03f942a984",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-26T17:45:53Z",
    "title_canon_sha256": "785d45e62ff8b897f8724ab7ed1a878f1a05d3c03f3b35c8a4a5575ac586e5ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08434",
    "kind": "arxiv",
    "version": 1
  }
}