Pith Number

pith:HSPOAHTX

pith:2012:HSPOAHTXHCVON2FBKTKWBU6F6R

not attested not anchored not stored refs pending

Surjective derivations in small dimensions

K. Masuda, M. Miyanishi, R. V. Gurjar

arxiv:1211.0744 v1 · 2012-11-05 · 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{HSPOAHTXHCVON2FBKTKWBU6F6R}

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	2026-05-18T03:41:31.657728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c9ee01e7738aae6e8a154d560d3c5f470ce5d945c4a6f970642376bd4a37a3b

Aliases

arxiv: 1211.0744 · arxiv_version: 1211.0744v1 · doi: 10.48550/arxiv.1211.0744 · pith_short_12: HSPOAHTXHCVO · pith_short_16: HSPOAHTXHCVON2FB · pith_short_8: HSPOAHTX

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/HSPOAHTXHCVON2FBKTKWBU6F6R \
  | 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: 3c9ee01e7738aae6e8a154d560d3c5f470ce5d945c4a6f970642376bd4a37a3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9133157048d8f5ba18f68c87554c57288343272e55ad1819402fbe3cc2e747d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-05T02:25:48Z",
    "title_canon_sha256": "b9bca56301f8c61bb22885ec82349029ebdba519d40cd647f0cfd4b2c5372ead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0744",
    "kind": "arxiv",
    "version": 1
  }
}