Pith Number

pith:P4TOIQGF

pith:2026:P4TOIQGFVIPX3HXFBZKYYVQRK2

not attested not anchored not stored refs pending

Comments on holographic spread complexity

Jia Tian, Zhehan Li

arxiv:2607.18024 v1 · 2026-07-20 · 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{P4TOIQGFVIPX3HXFBZKYYVQRK2}

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	2026-07-21T02:22:12.254845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f26e440c5aa1f7d9ee50e558c561156bdc07adf412632f8a8a3fa334d79e3d2

Aliases

arxiv: 2607.18024 · arxiv_version: 2607.18024v1 · doi: 10.48550/arxiv.2607.18024 · pith_short_12: P4TOIQGFVIPX · pith_short_16: P4TOIQGFVIPX3HXF · pith_short_8: P4TOIQGF

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/P4TOIQGFVIPX3HXFBZKYYVQRK2 \
  | 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: 7f26e440c5aa1f7d9ee50e558c561156bdc07adf412632f8a8a3fa334d79e3d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f799f007a64ae0df3f2f0d0c9a8ae92b19b95e41703a1871357496a601040a34",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-20T14:56:00Z",
    "title_canon_sha256": "8d5ebca4d8ca49e7934d9d87e137a3f2b037ed7b1f8aa359f4928b9f305bbea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18024",
    "kind": "arxiv",
    "version": 1
  }
}