Pith Number

pith:62EFNFBO

pith:2012:62EFNFBO7ZBB4FHWTQM7L7DU6L

not attested not anchored not stored refs pending

A wall crossing formula for degrees of real central projections

Andrei Teleman, Christian Okonek

arxiv:1206.4271 v4 · 2012-06-19 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62EFNFBO7ZBB4FHWTQM7L7DU6L}

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	2026-05-18T02:54:56.527460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f68856942efe421e14f69c19f5fc74f2d4d17f51071b84f133be020ad9e5a261

Aliases

arxiv: 1206.4271 · arxiv_version: 1206.4271v4 · doi: 10.48550/arxiv.1206.4271 · pith_short_12: 62EFNFBO7ZBB · pith_short_16: 62EFNFBO7ZBB4FHW · pith_short_8: 62EFNFBO

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/62EFNFBO7ZBB4FHWTQM7L7DU6L \
  | 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: f68856942efe421e14f69c19f5fc74f2d4d17f51071b84f133be020ad9e5a261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c8c21368e4a9e7defa1a2d02ed6ae2142c63e42395286e7efaa2134bc1ce828",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-19T17:08:53Z",
    "title_canon_sha256": "5cb4201f2466849e7dc758a6d4ebcb398a69b72c547828f35a02ed24d05dd4cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4271",
    "kind": "arxiv",
    "version": 4
  }
}