Pith Number

pith:VF7MREWU

pith:2026:VF7MREWUDTXP63M7OO54BHSQMN

not attested not anchored not stored refs pending

One thousand and one higher-order geometric flows of networks

Alessandra Pluda, Luca Benatti

arxiv:2607.13894 v1 · 2026-07-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VF7MREWUDTXP63M7OO54BHSQMN}

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	2026-07-16T01:23:12.036892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a97ec892d41ceeff6d9f73bbc09e5063638d6f770ae6628e96059a0b9cca3255

Aliases

arxiv: 2607.13894 · arxiv_version: 2607.13894v1 · doi: 10.48550/arxiv.2607.13894 · pith_short_12: VF7MREWUDTXP · pith_short_16: VF7MREWUDTXP63M7 · pith_short_8: VF7MREWU

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/VF7MREWUDTXP63M7OO54BHSQMN \
  | 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: a97ec892d41ceeff6d9f73bbc09e5063638d6f770ae6628e96059a0b9cca3255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b268b1f0fa935d40c607f8fdce090efd5ff85e4c017c7e01ee97dc2f53512b7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-15T14:39:01Z",
    "title_canon_sha256": "fc72dde775d8f4ee26c08bb67ece39bf9ecd23e8e3bf036f7faee34ba8a8a2f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13894",
    "kind": "arxiv",
    "version": 1
  }
}