Pith Number

pith:GPT2MR6U

pith:2026:GPT2MR6USKNN7Y7D7X4AHNXSN7

not attested not anchored not stored refs pending

Negative shocks versus static patch holography

Douglas Stanford, Haifeng Tang, Yiming Chen, Zhenbin Yang

arxiv:2607.14042 v1 · 2026-07-15 · 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{GPT2MR6USKNN7Y7D7X4AHNXSN7}

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	2026-07-16T01:23:21.134442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e7a647d4929adfe3e3fdf803b6f26fed7f33e689a2bf13c13ef8007977f61a

Aliases

arxiv: 2607.14042 · arxiv_version: 2607.14042v1 · doi: 10.48550/arxiv.2607.14042 · pith_short_12: GPT2MR6USKNN · pith_short_16: GPT2MR6USKNN7Y7D · pith_short_8: GPT2MR6U

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/GPT2MR6USKNN7Y7D7X4AHNXSN7 \
  | 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: 33e7a647d4929adfe3e3fdf803b6f26fed7f33e689a2bf13c13ef8007977f61a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e3ba3d691a7371e5a4b5584d718784bf4d651aadcb6366cb9e52d9de7701cb",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-15T17:13:10Z",
    "title_canon_sha256": "5c4a8733eaf5590f49faf9bed01f55c1ed7ff2e29d64577ec140c517b6afdc08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14042",
    "kind": "arxiv",
    "version": 1
  }
}