Pith Number

pith:PNAHK6IH

pith:2026:PNAHK6IHTFQEICEV2MTNBOYLBL

not attested not anchored not stored refs pending

Uniqueness of null-local modular flow

Gautam Satishchandran, Jonathan Sorce

arxiv:2607.20678 v1 · 2026-07-22 · hep-th · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNAHK6IHTFQEICEV2MTNBOYLBL}

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	2026-07-24T00:23:29.074371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b407579079960440895d326d0bb0b0ae4b37e806b275f8acf074d6dae6dfa12

Aliases

arxiv: 2607.20678 · arxiv_version: 2607.20678v1 · doi: 10.48550/arxiv.2607.20678 · pith_short_12: PNAHK6IHTFQE · pith_short_16: PNAHK6IHTFQEICEV · pith_short_8: PNAHK6IH

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/PNAHK6IHTFQEICEV2MTNBOYLBL \
  | 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: 7b407579079960440895d326d0bb0b0ae4b37e806b275f8acf074d6dae6dfa12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "082da47fe0bee758fdd1c7066ab575b4d9c7b205fabdf9e7183771dbed934e90",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-22T19:28:44Z",
    "title_canon_sha256": "9b97a6efed94ced452933c782475e70f41062ce3bab20fec4c4f0de0fc8556c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20678",
    "kind": "arxiv",
    "version": 1
  }
}