Pith Number

pith:P4OHE6WZ

pith:2010:P4OHE6WZG4MNE6LXMGZQNT65AA

not attested not anchored not stored refs pending

The bordism version of the h-principle

Rustam Sadykov

arxiv:1002.1650 v4 · 2010-02-08 · math.GT · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4OHE6WZG4MNE6LXMGZQNT65AA}

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	2026-05-18T00:25:44.800433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f1c727ad93718d2797761b306cfdd00076e0dfe2467b34143e6c0e24bb11f25

Aliases

arxiv: 1002.1650 · arxiv_version: 1002.1650v4 · doi: 10.48550/arxiv.1002.1650 · pith_short_12: P4OHE6WZG4MN · pith_short_16: P4OHE6WZG4MNE6LX · pith_short_8: P4OHE6WZ

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/P4OHE6WZG4MNE6LXMGZQNT65AA \
  | 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: 7f1c727ad93718d2797761b306cfdd00076e0dfe2467b34143e6c0e24bb11f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbecb8e3f24fc2539853bb7b0102e318e9e8fbbac018bebf8af3930f99c73c58",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-02-08T16:52:25Z",
    "title_canon_sha256": "3a1b0b4613b252e5944ea8a663e658e6e0f1307b7e904398381d56382f3e8b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1650",
    "kind": "arxiv",
    "version": 4
  }
}