Pith Number

pith:3CXL7E7I

pith:2005:3CXL7E7ICSKJAK4E7RZ6AXZKBG

not attested not anchored not stored refs pending

Lie description of higher obstructions to deforming submanifolds

Marco Manetti

arxiv:math/0507287 v2 · 2005-07-14 · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CXL7E7ICSKJAK4E7RZ6AXZKBG}

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	2026-05-18T03:45:40.387274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8aebf93e81494902b84fc73e05f2a098e4ae8f515b63906db01c29b6766edab

Aliases

arxiv: math/0507287 · arxiv_version: math/0507287v2 · doi: 10.48550/arxiv.math/0507287 · pith_short_12: 3CXL7E7ICSKJ · pith_short_16: 3CXL7E7ICSKJAK4E · pith_short_8: 3CXL7E7I

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/3CXL7E7ICSKJAK4E7RZ6AXZKBG \
  | 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: d8aebf93e81494902b84fc73e05f2a098e4ae8f515b63906db01c29b6766edab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37f6bde2d8f51c98cda6e962ff74e86f75b3a81a879a2264a40ba19306cef8b8",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-07-14T10:00:33Z",
    "title_canon_sha256": "67f3f919bfeae44d8f7ed0cc49bfad075260e93f6f3e5a424984ece57d218f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507287",
    "kind": "arxiv",
    "version": 2
  }
}