Pith Number

pith:3CJRKL3Z

pith:2021:3CJRKL3ZGGJJDEI2DET35E2WRL

not attested not anchored not stored refs pending

On constraint preservation and strong hyperbolicity

J. Fernando Abalos

arxiv:2111.06295 v1 · 2021-11-11 · math.AP · 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{3CJRKL3ZGGJJDEI2DET35E2WRL}

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	2026-07-05T05:03:20.083775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d893152f79319291911a1927be93568af7a7605363cea9361ae45ab9ee54abe7

Aliases

arxiv: 2111.06295 · arxiv_version: 2111.06295v1 · doi: 10.48550/arxiv.2111.06295 · pith_short_12: 3CJRKL3ZGGJJ · pith_short_16: 3CJRKL3ZGGJJDEI2 · pith_short_8: 3CJRKL3Z

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/3CJRKL3ZGGJJDEI2DET35E2WRL \
  | 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: d893152f79319291911a1927be93568af7a7605363cea9361ae45ab9ee54abe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f59be456d51bff650b65ef921916b695ed444e3828b7cb7c56e0afc73aac5900",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-11-11T16:14:11Z",
    "title_canon_sha256": "b6a488c34508887b817965be07c3e86afd1a47c161901a361a51e68fd7399d9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.06295",
    "kind": "arxiv",
    "version": 1
  }
}