Pith Number

pith:JAR6DM4Z

pith:2010:JAR6DM4Z57CH7RTE4MH7HFW4ER

not attested not anchored not stored refs pending

A relative h-principle via cobordism-like categories

Emanuele Dotto

arxiv:1012.4635 v2 · 2010-12-21 · 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{JAR6DM4Z57CH7RTE4MH7HFW4ER}

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	2026-05-18T01:49:54.377096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4823e1b399efc47fc664e30ff396dc244f25d253186870a74aa6cbd1d45f89d5

Aliases

arxiv: 1012.4635 · arxiv_version: 1012.4635v2 · doi: 10.48550/arxiv.1012.4635 · pith_short_12: JAR6DM4Z57CH · pith_short_16: JAR6DM4Z57CH7RTE · pith_short_8: JAR6DM4Z

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/JAR6DM4Z57CH7RTE4MH7HFW4ER \
  | 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: 4823e1b399efc47fc664e30ff396dc244f25d253186870a74aa6cbd1d45f89d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12e2364dfaf04f89d19e25e239dbe21005e4ef3e1d1b112f0712d4dc33f72f89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-12-21T12:42:01Z",
    "title_canon_sha256": "b4e328654570313d5d0e94c0fcdcfaeec30f21557b72b7f00987172b25dd5e76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4635",
    "kind": "arxiv",
    "version": 2
  }
}