Pith Number

pith:7PFMWSZD

pith:2012:7PFMWSZDKDSENTFGC3UF2YA2MO

not attested not anchored not stored refs pending

Envelopes of positive metrics with prescribed singularities

David Witt Nystrom, Julius Ross

arxiv:1210.2220 v2 · 2012-10-08 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PFMWSZDKDSENTFGC3UF2YA2MO}

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	2026-05-18T01:11:03.660889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbcacb4b2350e446cca616e85d601a6381cba816b3fb5c4c26f7267ca72c29f1

Aliases

arxiv: 1210.2220 · arxiv_version: 1210.2220v2 · doi: 10.48550/arxiv.1210.2220 · pith_short_12: 7PFMWSZDKDSE · pith_short_16: 7PFMWSZDKDSENTFG · pith_short_8: 7PFMWSZD

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/7PFMWSZDKDSENTFGC3UF2YA2MO \
  | 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: fbcacb4b2350e446cca616e85d601a6381cba816b3fb5c4c26f7267ca72c29f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b242f0e80cbaf901c4d5d41b3db9878f59798c03719a0f4863447e61b4ebdae5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-10-08T10:37:04Z",
    "title_canon_sha256": "078f61a4fd7827f23f1e527ef3dbe8590e7da3bb0aef321fd1c917ad307c07af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2220",
    "kind": "arxiv",
    "version": 2
  }
}