Pith Number

pith:HDPV3PMS

pith:2010:HDPV3PMSL27VJTPA7CX5M5I4JN

not attested not anchored not stored refs pending

Complex surfaces with CAT(0) metrics

Dmitri Panov

arxiv:1010.1448 v2 · 2010-10-07 · math.DG · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HDPV3PMSL27VJTPA7CX5M5I4JN}

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	2026-05-18T04:18:34.678844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38df5dbd925ebf54cde0f8afd6751c4b4839099fbdaa9d9da2012b3617c2ac65

Aliases

arxiv: 1010.1448 · arxiv_version: 1010.1448v2 · doi: 10.48550/arxiv.1010.1448 · pith_short_12: HDPV3PMSL27V · pith_short_16: HDPV3PMSL27VJTPA · pith_short_8: HDPV3PMS

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/HDPV3PMSL27VJTPA7CX5M5I4JN \
  | 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: 38df5dbd925ebf54cde0f8afd6751c4b4839099fbdaa9d9da2012b3617c2ac65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a3ee512f6ce73cfbba65a340d99f35b2c8f415dbc7884f32ce0779d6a54009e",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-07T14:42:40Z",
    "title_canon_sha256": "d8a3d3f08ae3074f37d8954a79bd95b6e4be1d209301210930ad199430855955"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1448",
    "kind": "arxiv",
    "version": 2
  }
}