Pith Number

pith:CI5JTDIN

pith:2008:CI5JTDINUC52IPVTLJQLHGW5XB

not attested not anchored not stored refs pending

Vortex invariants and toric manifolds

Jan Wehrheim

arxiv:0812.0299 v1 · 2008-12-01 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CI5JTDINUC52IPVTLJQLHGW5XB}

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.

Cited by

1 paper in Pith

On the geometry of magnetic Skyrmions on thin films

Receipt and verification

First computed	2026-07-04T15:33:10.371793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

123a998d0da0bba43eb35a60b39addb849b2d359b7135dd22ef5c97a9b0f33af

Aliases

arxiv: 0812.0299 · arxiv_version: 0812.0299v1 · doi: 10.48550/arxiv.0812.0299 · pith_short_12: CI5JTDINUC52 · pith_short_16: CI5JTDINUC52IPVT · pith_short_8: CI5JTDIN

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/CI5JTDINUC52IPVTLJQLHGW5XB \
  | 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: 123a998d0da0bba43eb35a60b39addb849b2d359b7135dd22ef5c97a9b0f33af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aba752b8a402001e9e3e1f96e7502889ea4bfcb8340fb0cd344593ad53622764",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-12-01T14:07:44Z",
    "title_canon_sha256": "bba59173cc4d7eca5be886f7066f9ef5adef58d01381734aa2f836ac50c48f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0299",
    "kind": "arxiv",
    "version": 1
  }
}