Pith Number

pith:PLNIFQFF

pith:2026:PLNIFQFFRY6AHUNPPXXSPFDNSW

not attested not anchored not stored refs pending

Sharp kinetic trace theory

Lisa Valentini, Lukas Niebel

arxiv:2607.24708 v1 · 2026-07-27 · 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{PLNIFQFFRY6AHUNPPXXSPFDNSW}

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	2026-07-28T02:24:23.417335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ada82c0a58e3c03d1af7def27946d9599e40285214ca2d84a551333fc4f66fb

Aliases

arxiv: 2607.24708 · arxiv_version: 2607.24708v1 · doi: 10.48550/arxiv.2607.24708 · pith_short_12: PLNIFQFFRY6A · pith_short_16: PLNIFQFFRY6AHUNP · pith_short_8: PLNIFQFF

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/PLNIFQFFRY6AHUNPPXXSPFDNSW \
  | 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: 7ada82c0a58e3c03d1af7def27946d9599e40285214ca2d84a551333fc4f66fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "688e99699c1385d56c66db3f60c5b9cf54219506ecb5d8ef816b0c129474a3cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-27T17:47:42Z",
    "title_canon_sha256": "8476533eca3c8217d354b85788a63928c7985091d5baa0fe66683c28b3499315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24708",
    "kind": "arxiv",
    "version": 1
  }
}