Pith Number

pith:3I7WCJNN

pith:2012:3I7WCJNNDNV53ESWLCPCYW5DOB

not attested not anchored not stored refs pending

The local geometry of maps with c-convex potentials

Jun Kitagawa, Nestor Guillen

arxiv:1212.4865 v2 · 2012-12-19 · math.AP · 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{3I7WCJNNDNV53ESWLCPCYW5DOB}

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	2026-05-18T03:35:37.987215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da3f6125ad1b6bdd9256589e2c5ba37042f33b99c572103bd3d3fbcaf53a9507

Aliases

arxiv: 1212.4865 · arxiv_version: 1212.4865v2 · doi: 10.48550/arxiv.1212.4865 · pith_short_12: 3I7WCJNNDNV5 · pith_short_16: 3I7WCJNNDNV53ESW · pith_short_8: 3I7WCJNN

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/3I7WCJNNDNV53ESWLCPCYW5DOB \
  | 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: da3f6125ad1b6bdd9256589e2c5ba37042f33b99c572103bd3d3fbcaf53a9507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b79814f3400ff1c60fa9a18f2e521c1ea8b449ace7ecabad954e3ecc25b011d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-19T21:49:18Z",
    "title_canon_sha256": "960bd8ea23da62421c98b6af498a6e6d379a9d6789ba7afa2ea8ad0779861847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4865",
    "kind": "arxiv",
    "version": 2
  }
}