Pith Number

pith:PSAX4CPB

pith:2012:PSAX4CPBAA5ASRY4YJILUW3BMZ

not attested not anchored not stored refs pending

A note on inverse mean curvatrue flow in cosmological spacetimes

Heiko Kr\"oner

arxiv:1211.5046 v1 · 2012-11-21 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSAX4CPBAA5ASRY4YJILUW3BMZ}

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	2026-05-18T03:40:15.175126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c817e09e1003a09471cc250ba5b61667e7780e49713888704770931dbd7fadc

Aliases

arxiv: 1211.5046 · arxiv_version: 1211.5046v1 · doi: 10.48550/arxiv.1211.5046 · pith_short_12: PSAX4CPBAA5A · pith_short_16: PSAX4CPBAA5ASRY4 · pith_short_8: PSAX4CPB

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/PSAX4CPBAA5ASRY4YJILUW3BMZ \
  | 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: 7c817e09e1003a09471cc250ba5b61667e7780e49713888704770931dbd7fadc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99aff8436657c5194cb9b4fd06c0274c1bd94365d38b0e6c1286d8a6396cfc32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-21T14:42:22Z",
    "title_canon_sha256": "efaa7dda5494d4b4cd39f5c1c82a0496afd970be1457ff0ac9d892d2ad8d3626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5046",
    "kind": "arxiv",
    "version": 1
  }
}