Pith Number

pith:6PMJZSZ5

pith:2001:6PMJZSZ57QJOZRL5P7MIMTSOTF

not attested not anchored not stored refs pending

On the Associativity of Star Product in Systems with Nonlinear Constraints

Biswajit Chakraborty, Rabin Banerjee, Tomy Scaria

arxiv:hep-th/0111076 v2 · 2001-11-08 · 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{6PMJZSZ57QJOZRL5P7MIMTSOTF}

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	2026-05-18T01:05:59.761303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3d89ccb3dfc12ecc57d7fd8864e4e994f79c9992c0d84f5d9f9a079754e06ef

Aliases

arxiv: hep-th/0111076 · arxiv_version: hep-th/0111076v2 · doi: 10.48550/arxiv.hep-th/0111076 · pith_short_12: 6PMJZSZ57QJO · pith_short_16: 6PMJZSZ57QJOZRL5 · pith_short_8: 6PMJZSZ5

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/6PMJZSZ57QJOZRL5P7MIMTSOTF \
  | 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: f3d89ccb3dfc12ecc57d7fd8864e4e994f79c9992c0d84f5d9f9a079754e06ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d5a88ac40a082b1dc6e1f626abb19a7b8f4807fead6b7703d318ba9717b7307",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-11-08T17:09:03Z",
    "title_canon_sha256": "9aa0f34fa245bc7bab6a6dbbf40e3f82b80821dee23636f21316adb77a9bfaef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0111076",
    "kind": "arxiv",
    "version": 2
  }
}