Pith Number

pith:6OHMHISZ

pith:2011:6OHMHISZ75YNP2M5G4YCRILH7J

not attested not anchored not stored refs pending

A Short Note on the Thom-Boardman Symbols of Differentiable Maps

Jiayuan Lin, Maorong Ge, Yulan Wang

arxiv:1106.3920 v1 · 2011-06-20 · math.AC · 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{6OHMHISZ75YNP2M5G4YCRILH7J}

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	2026-05-18T04:19:41.860582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f38ec3a259ff70d7e99d373028a167fa43f7ea8507d1a9bc67b512b84b5ab1f0

Aliases

arxiv: 1106.3920 · arxiv_version: 1106.3920v1 · doi: 10.48550/arxiv.1106.3920 · pith_short_12: 6OHMHISZ75YN · pith_short_16: 6OHMHISZ75YNP2M5 · pith_short_8: 6OHMHISZ

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/6OHMHISZ75YNP2M5G4YCRILH7J \
  | 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: f38ec3a259ff70d7e99d373028a167fa43f7ea8507d1a9bc67b512b84b5ab1f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d04e5f929d2da8e3b8729a2154ece937fd70cff2f70a73d4ea2b3e854bb3af4c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-06-20T14:33:01Z",
    "title_canon_sha256": "cd9b3c95f4b636e749e0499c77638ce49272ca7a3e15f90821cac086a0bb119d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3920",
    "kind": "arxiv",
    "version": 1
  }
}