Pith Number

pith:TXUM4RD7

pith:2025:TXUM4RD7L3USDLWNM2NH6FI43J

not attested not anchored not stored refs pending

Hodge Duals in Spherical Compactifications

Arash Azizi

arxiv:2507.06324 v1 · 2025-07-08 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXUM4RD7L3USDLWNM2NH6FI43J}

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	2026-07-05T11:34:13.645397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9de8ce447f5ee921aecd669a7f151cda59d445d0feef0986b0e58b0571c09f37

Aliases

arxiv: 2507.06324 · arxiv_version: 2507.06324v1 · doi: 10.48550/arxiv.2507.06324 · pith_short_12: TXUM4RD7L3US · pith_short_16: TXUM4RD7L3USDLWN · pith_short_8: TXUM4RD7

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/TXUM4RD7L3USDLWNM2NH6FI43J \
  | 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: 9de8ce447f5ee921aecd669a7f151cda59d445d0feef0986b0e58b0571c09f37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4231bbef38418f977ff9c5a1ed768273f62ebc0689a2a77c9e98a52dab29c66d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-08T18:29:58Z",
    "title_canon_sha256": "9fb17321153a510a23ff611fbb8e58345dfa2ca65dde0c7d1ed4988f3f42d891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06324",
    "kind": "arxiv",
    "version": 1
  }
}