Pith Number

pith:GM3HUPHV

pith:2011:GM3HUPHV46QKW4LUMKKBLIANDD

not attested not anchored not stored refs pending

Inner functions on a general type of domains

Baili Min

arxiv:1103.0590 v1 · 2011-03-03 · 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{GM3HUPHV46QKW4LUMKKBLIANDD}

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	2026-05-18T04:27:27.738175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33367a3cf5e7a0ab7174629415a00d18e4dc94ecc665e0f404a275a8e8c4cd04

Aliases

arxiv: 1103.0590 · arxiv_version: 1103.0590v1 · doi: 10.48550/arxiv.1103.0590 · pith_short_12: GM3HUPHV46QK · pith_short_16: GM3HUPHV46QKW4LU · pith_short_8: GM3HUPHV

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/GM3HUPHV46QKW4LUMKKBLIANDD \
  | 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: 33367a3cf5e7a0ab7174629415a00d18e4dc94ecc665e0f404a275a8e8c4cd04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "923c0280cfcc1716989e954ea32c31f6c034b89a1464a4c4fd763794aa655f03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-03-03T01:18:28Z",
    "title_canon_sha256": "825f3743c56c706d5a7a503ceba8a88e59d494317962e5ce155b51d8a4dcfc8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0590",
    "kind": "arxiv",
    "version": 1
  }
}