Pith Number

pith:OPZNCAGQ

pith:2007:OPZNCAGQNIP66XY6JV5WCV77ZA

not attested not anchored not stored refs pending

On the growth of the Bergman kernel near an infinite-type point

Gautam Bharali

arxiv:0708.2894 v2 · 2007-08-21 · 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{OPZNCAGQNIP66XY6JV5WCV77ZA}

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	2026-05-18T04:22:01.255795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f2d100d06a1fef5f1e4d7b6157ffc80b62f52894df31fb19212b056c4e6f7d

Aliases

arxiv: 0708.2894 · arxiv_version: 0708.2894v2 · doi: 10.48550/arxiv.0708.2894 · pith_short_12: OPZNCAGQNIP6 · pith_short_16: OPZNCAGQNIP66XY6 · pith_short_8: OPZNCAGQ

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/OPZNCAGQNIP66XY6JV5WCV77ZA \
  | 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: 73f2d100d06a1fef5f1e4d7b6157ffc80b62f52894df31fb19212b056c4e6f7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0252903fa29c9248a56596cb4217c2d739170b4e14f7a836d51feedbb884aa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2007-08-21T17:44:07Z",
    "title_canon_sha256": "a1f2f88d1020643e5086162c96befe052dc9b7f3784106887827d5232d29a3d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2894",
    "kind": "arxiv",
    "version": 2
  }
}