Pith Number

pith:VGON5OTT

pith:2012:VGON5OTTLSK3YOPOESCKGGUUJU

not attested not anchored not stored refs pending

A family of non-injective skinning maps with critical points

Jonah Gaster

arxiv:1212.6210 v1 · 2012-12-26 · 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{VGON5OTTLSK3YOPOESCKGGUUJU}

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	2026-05-18T03:37:42.399471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99cdeba735c95bc39ee2484a31a944d056645c0b3a28893d5a45f663a588dd5

Aliases

arxiv: 1212.6210 · arxiv_version: 1212.6210v1 · doi: 10.48550/arxiv.1212.6210 · pith_short_12: VGON5OTTLSK3 · pith_short_16: VGON5OTTLSK3YOPO · pith_short_8: VGON5OTT

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/VGON5OTTLSK3YOPOESCKGGUUJU \
  | 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: a99cdeba735c95bc39ee2484a31a944d056645c0b3a28893d5a45f663a588dd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e098e7d9b780d0a9a62c6843cd9ec99c85866e5ec2ddf30444958943367f40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-26T16:50:04Z",
    "title_canon_sha256": "1f1cf1035fd51f98ce7b34cc0b861e62fba6388c14e92046aa2a91c7c00759ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6210",
    "kind": "arxiv",
    "version": 1
  }
}