Pith Number

pith:VOLRGTYZ

pith:2013:VOLRGTYZRMKR5MBWAT6QR7VW6R

not attested not anchored not stored refs pending

Sharpness of Rickman's Picard theorem in all dimensions

David Drasin, Pekka Pankka

arxiv:1304.6998 v2 · 2013-04-25 · 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{VOLRGTYZRMKR5MBWAT6QR7VW6R}

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	2026-05-18T02:37:44.884097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab97134f198b151eb03604fd08feb6f4692944496f7ab1d70c27dac73b359434

Aliases

arxiv: 1304.6998 · arxiv_version: 1304.6998v2 · doi: 10.48550/arxiv.1304.6998 · pith_short_12: VOLRGTYZRMKR · pith_short_16: VOLRGTYZRMKR5MBW · pith_short_8: VOLRGTYZ

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/VOLRGTYZRMKR5MBWAT6QR7VW6R \
  | 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: ab97134f198b151eb03604fd08feb6f4692944496f7ab1d70c27dac73b359434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "973854341c041bd67a801d41dc81c6f2a84825225919325c1be6ce762e12dc19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-04-25T19:57:59Z",
    "title_canon_sha256": "9999bc4bb7165a0a791c1077e44db47f4d1820bcfd8f4fd70dba951b32273579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6998",
    "kind": "arxiv",
    "version": 2
  }
}