Pith Number

pith:VBGSWOAH

pith:2008:VBGSWOAH3GGLZ6JHVGLBKTRCWE

not attested not anchored not stored refs pending

Very Twisted Stable Maps

Henning \'Ulfarsson, Qile Chen, Steffen Marcus

arxiv:0811.0035 v2 · 2008-10-31 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBGSWOAH3GGLZ6JHVGLBKTRCWE}

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	2026-05-18T04:20:39.496832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a84d2b3807d98cbcf927a996154e22b11aa35dfb18ef5b1abd68f6e9c819072d

Aliases

arxiv: 0811.0035 · arxiv_version: 0811.0035v2 · doi: 10.48550/arxiv.0811.0035 · pith_short_12: VBGSWOAH3GGL · pith_short_16: VBGSWOAH3GGLZ6JH · pith_short_8: VBGSWOAH

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/VBGSWOAH3GGLZ6JHVGLBKTRCWE \
  | 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: a84d2b3807d98cbcf927a996154e22b11aa35dfb18ef5b1abd68f6e9c819072d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02c757f2879b3edc78da4b5f8bf4e777f7d74f78aa799323e4df939277d8d8ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-10-31T22:29:02Z",
    "title_canon_sha256": "299b8e0a4dd70603f8743779d88c76b87d37b82c3189bb618f4446a3b2cdd559"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0035",
    "kind": "arxiv",
    "version": 2
  }
}