Pith Number

pith:T3PH2Z2A

pith:2026:T3PH2Z2A6IJUN64ZWQXH7J3PMD

not attested not anchored not stored refs pending

Uniqueness and Analytic Structures of Bosonic String Effective Amplitudes

Fan Zhu, Qu Cao

arxiv:2607.01790 v1 · 2026-07-02 · 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{T3PH2Z2A6IJUN64ZWQXH7J3PMD}

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	2026-07-03T01:17:29.934609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ede7d6740f21346fb99b42e7fa76f60f882b758238cf66521ddce1f762ef454

Aliases

arxiv: 2607.01790 · arxiv_version: 2607.01790v1 · doi: 10.48550/arxiv.2607.01790 · pith_short_12: T3PH2Z2A6IJU · pith_short_16: T3PH2Z2A6IJUN64Z · pith_short_8: T3PH2Z2A

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/T3PH2Z2A6IJUN64ZWQXH7J3PMD \
  | 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: 9ede7d6740f21346fb99b42e7fa76f60f882b758238cf66521ddce1f762ef454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa55bd4c4f287ba0f8e9a2c043ca2ce02dd64a716bbb9bf4a997b156b79fda0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-02T07:05:17Z",
    "title_canon_sha256": "f5f27bc4557116c6502b909a5115ecc3efb4e3c02e1004a0a181b4ccb5ee0ae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01790",
    "kind": "arxiv",
    "version": 1
  }
}