Pith Number

pith:C3ZTLF7V

pith:2026:C3ZTLF7VIOCAHBVTKQ2IKLMHG3

not attested not anchored not stored refs pending

Selecting Complex Extremal Surfaces with the Kontsevich--Segal--Witten Criterion

Wu-zhong Guo

arxiv:2607.21030 v1 · 2026-07-23 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3ZTLF7VIOCAHBVTKQ2IKLMHG3}

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	2026-07-24T01:23:48.238837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f33597f543840386b35434852d8736d495dd24a4b44b5adaf881d5339d1de6

Aliases

arxiv: 2607.21030 · arxiv_version: 2607.21030v1 · doi: 10.48550/arxiv.2607.21030 · pith_short_12: C3ZTLF7VIOCA · pith_short_16: C3ZTLF7VIOCAHBVT · pith_short_8: C3ZTLF7V

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/C3ZTLF7VIOCAHBVTKQ2IKLMHG3 \
  | 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: 16f33597f543840386b35434852d8736d495dd24a4b44b5adaf881d5339d1de6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7a6a15ab862e878b5e09d41ac0b587c639bc656cf30ea3da16ca1099524de60",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-23T08:13:19Z",
    "title_canon_sha256": "e54556b50ad0a4c6c1a60f00f078129444ff0bdb3d70c609fb9d31ea86f6732e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21030",
    "kind": "arxiv",
    "version": 1
  }
}