Pith Number

pith:5ELP2AX3

pith:2013:5ELP2AX3RTQJCBMNWXKGMPYP7F

not attested not anchored not stored refs pending

Positive curvature and the elliptic genus

Nicolas Weisskopf

arxiv:1305.5175 v2 · 2013-05-22 · math.DG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ELP2AX3RTQJCBMNWXKGMPYP7F}

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	2026-05-18T00:52:44.626683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e916fd02fb8ce091058db5d4663f0ff97b60720c6acc293e1d8a026f544498ae

Aliases

arxiv: 1305.5175 · arxiv_version: 1305.5175v2 · doi: 10.48550/arxiv.1305.5175 · pith_short_12: 5ELP2AX3RTQJ · pith_short_16: 5ELP2AX3RTQJCBMN · pith_short_8: 5ELP2AX3

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/5ELP2AX3RTQJCBMNWXKGMPYP7F \
  | 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: e916fd02fb8ce091058db5d4663f0ff97b60720c6acc293e1d8a026f544498ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea083237a51c68cbcc7e0201ff2c75e40407e885084a859dc1aae904ddcb421b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-22T15:56:26Z",
    "title_canon_sha256": "25b736dd00e0c089df9a42b7496fe0c2282f95f7dfacb16d4cb6e80903213480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5175",
    "kind": "arxiv",
    "version": 2
  }
}