Pith Number

pith:J4Z7MJSN

pith:2013:J4Z7MJSN2AZO7YTWPSCXVAULFX

not attested not anchored not stored refs pending

Singular 2 webs and Polar Curves

Fernando Etayo

arxiv:1304.5772 v1 · 2013-04-21 · 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{J4Z7MJSN2AZO7YTWPSCXVAULFX}

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	2026-05-18T03:27:24.174447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f33f6264dd032efe2767c857a828b2dfdf3346f5f21c995aecb3dfb3fe6db38

Aliases

arxiv: 1304.5772 · arxiv_version: 1304.5772v1 · doi: 10.48550/arxiv.1304.5772 · pith_short_12: J4Z7MJSN2AZO · pith_short_16: J4Z7MJSN2AZO7YTW · pith_short_8: J4Z7MJSN

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/J4Z7MJSN2AZO7YTWPSCXVAULFX \
  | 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: 4f33f6264dd032efe2767c857a828b2dfdf3346f5f21c995aecb3dfb3fe6db38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c23b5760118ab0a5e6ed6610b3653484a573c6b0e5d873851784ae47f8e8576e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-21T18:06:47Z",
    "title_canon_sha256": "6d15c31f40ef5f16a145124b880917822f01498f5ad5ae1899d591d5b277f9ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5772",
    "kind": "arxiv",
    "version": 1
  }
}