Pith Number

pith:VPHSMI4H

pith:1994:VPHSMI4HMBTNLGFEG2GESPWC5K

not attested not anchored not stored refs pending

Mastering the Master Field

David J. Gross (Princeton University), Rajesh Gopakumar

arxiv:hep-th/9411021 v1 · 1994-11-03 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPHSMI4HMBTNLGFEG2GESPWC5K}

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.

Cited by

1 paper in Pith

Quantum Spacetime, Quantum Gravity and Gravitized Quantum Theory

Receipt and verification

First computed	2026-07-04T15:57:52.966117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abcf2623876066d598a4368c493ec2eab82ae734daf9d5438192997e2a84c5ca

Aliases

arxiv: hep-th/9411021 · arxiv_version: hep-th/9411021v1 · doi: 10.48550/arxiv.hep-th/9411021 · pith_short_12: VPHSMI4HMBTN · pith_short_16: VPHSMI4HMBTNLGFE · pith_short_8: VPHSMI4H

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/VPHSMI4HMBTNLGFEG2GESPWC5K \
  | 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: abcf2623876066d598a4368c493ec2eab82ae734daf9d5438192997e2a84c5ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ccbdb0ad8e9532616f4fc44a537a3d2d0c268896484dcc9720f96ab14c07f3d",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1994-11-03T04:46:18Z",
    "title_canon_sha256": "2d46423881db40c11a9e6d06def3c30d7b64770e1dc593de03cf37180eac0ca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9411021",
    "kind": "arxiv",
    "version": 1
  }
}