Pith Number

pith:BJ7YVQ5M

pith:2011:BJ7YVQ5MVI7T2HQNDUIWXUOY53

not attested not anchored not stored refs pending

Two-jets of conformal fields along their zero sets

Andrzej Derdzinski

arxiv:1112.0284 v1 · 2011-12-01 · 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{BJ7YVQ5MVI7T2HQNDUIWXUOY53}

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	2026-05-18T03:49:32.774257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a7f8ac3acaa3f3d1e0d1d116bd1d8eec59ff2b6c492bec4c2260f0c49f70e93

Aliases

arxiv: 1112.0284 · arxiv_version: 1112.0284v1 · doi: 10.48550/arxiv.1112.0284 · pith_short_12: BJ7YVQ5MVI7T · pith_short_16: BJ7YVQ5MVI7T2HQN · pith_short_8: BJ7YVQ5M

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/BJ7YVQ5MVI7T2HQNDUIWXUOY53 \
  | 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: 0a7f8ac3acaa3f3d1e0d1d116bd1d8eec59ff2b6c492bec4c2260f0c49f70e93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7be9de316574b089a5ba8343ee9d97ef69c0b5d1c257c8294efd5ee976ab4a60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-01T20:01:22Z",
    "title_canon_sha256": "4b5561f666b70da9f9c3a30379a88051f0e0d5c1e7e017db1cb6317b52b35f7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0284",
    "kind": "arxiv",
    "version": 1
  }
}