Pith Number

pith:TNH2TR5S

pith:2015:TNH2TR5SPFHCQ7XNEZSJI3Z4O7

not attested not anchored not stored refs pending

Artin Approximation

Guillaume Rond

arxiv:1506.04717 v4 · 2015-06-15 · math.AC · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNH2TR5SPFHCQ7XNEZSJI3Z4O7}

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	2026-05-18T00:16:03.391044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b4fa9c7b2794e287eed2664946f3c77ea283c165c9c23a17203723de6e4a855

Aliases

arxiv: 1506.04717 · arxiv_version: 1506.04717v4 · doi: 10.48550/arxiv.1506.04717 · pith_short_12: TNH2TR5SPFHC · pith_short_16: TNH2TR5SPFHCQ7XN · pith_short_8: TNH2TR5S

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/TNH2TR5SPFHCQ7XNEZSJI3Z4O7 \
  | 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: 9b4fa9c7b2794e287eed2664946f3c77ea283c165c9c23a17203723de6e4a855

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13bc0e18ee7659093930dd1a935e1654126d7e9e8b1bf92748c6ed879b5eaea7",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-06-15T19:30:12Z",
    "title_canon_sha256": "b0775b97110ea773b399c8b0e28a3d0f2c4dc3ae7f1c48e87dcfe5e1846eddd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04717",
    "kind": "arxiv",
    "version": 4
  }
}