Pith Number

pith:VUYAWQGN

pith:2019:VUYAWQGNK46DONPDEVRLRO7B2N

not attested not anchored not stored refs pending

Spectra of biperiodic planar networks

Terrence George

arxiv:1901.06353 v2 · 2019-01-18 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUYAWQGNK46DONPDEVRLRO7B2N}

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	2026-05-17T23:52:31.874378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad300b40cd573c3735e32562b8bbe1d340906321ed35cd85b42b1b2e53312947

Aliases

arxiv: 1901.06353 · arxiv_version: 1901.06353v2 · doi: 10.48550/arxiv.1901.06353 · pith_short_12: VUYAWQGNK46D · pith_short_16: VUYAWQGNK46DONPD · pith_short_8: VUYAWQGN

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/VUYAWQGNK46DONPDEVRLRO7B2N \
  | 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: ad300b40cd573c3735e32562b8bbe1d340906321ed35cd85b42b1b2e53312947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daf6da93405bec84851eca046faeeb55c3d92b91a4efd58a22601d785c570e8e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-18T17:45:02Z",
    "title_canon_sha256": "4fc8f5cc45ea05060f500c7fdda25fbdcb6b0293e08a0421cde0757b0736ef6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06353",
    "kind": "arxiv",
    "version": 2
  }
}