Pith Number

pith:KS2YPAOO

pith:1997:KS2YPAOOMEGUNOCVFHLR3IJTW7

not attested not anchored not stored refs pending

Loop constraints: A habitat and their algebra

Donald Marolf, Jerzy lewandowski

arxiv:gr-qc/9710016 v1 · 1997-10-02 · gr-qc · 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{KS2YPAOOMEGUNOCVFHLR3IJTW7}

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	2026-05-18T01:39:18.867621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b58781ce610d46b85529d71da133b7e578d8d42936fbdfb682c63f9f033732

Aliases

arxiv: gr-qc/9710016 · arxiv_version: gr-qc/9710016v1 · doi: 10.48550/arxiv.gr-qc/9710016 · pith_short_12: KS2YPAOOMEGU · pith_short_16: KS2YPAOOMEGUNOCV · pith_short_8: KS2YPAOO

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/KS2YPAOOMEGUNOCVFHLR3IJTW7 \
  | 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: 54b58781ce610d46b85529d71da133b7e578d8d42936fbdfb682c63f9f033732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d36fb3ee961ad986b754c6504291b6d257deaa36de856069e0c2ff2b58973a3e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-10-02T19:30:54Z",
    "title_canon_sha256": "df478c77af76c3ba2bb7f3e8c0be9b72c5c9e5d0c825f3fcc279152d37317de2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9710016",
    "kind": "arxiv",
    "version": 1
  }
}