Pith Number

pith:TTJK7YXN

pith:2020:TTJK7YXNW5IPLTZ64BSUTMBYCF

not attested not anchored not stored refs pending

Curvature conditions for spatial isotropy

Kostas Tzanavaris, Pau Amaro Seoane

arxiv:2010.07306 v3 · 2020-10-14 · math.DG · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTJK7YXNW5IPLTZ64BSUTMBYCF}

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	2026-07-05T04:26:59.179895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cd2afe2edb750f5cf3ee06549b0381167a2db824eabee8e380f9b148565066f

Aliases

arxiv: 2010.07306 · arxiv_version: 2010.07306v3 · doi: 10.48550/arxiv.2010.07306 · pith_short_12: TTJK7YXNW5IP · pith_short_16: TTJK7YXNW5IPLTZ6 · pith_short_8: TTJK7YXN

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/TTJK7YXNW5IPLTZ64BSUTMBYCF \
  | 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: 9cd2afe2edb750f5cf3ee06549b0381167a2db824eabee8e380f9b148565066f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a797634ecce7c3eb61ed0d40fce58aad52d2d73cb531c570a84c95f4655d35bf",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-10-14T18:00:02Z",
    "title_canon_sha256": "8aa95b494bcae91199d5e0c25d4e9e7eefa359e924b7597acea8bd2dccbf7a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.07306",
    "kind": "arxiv",
    "version": 3
  }
}