Pith Number

pith:TD52D5G7

pith:2019:TD52D5G7VZKCSIZB3455F2UAAN

not attested not anchored not stored refs pending

Isoperimetric inequalities for Bergman analytic content

Marius Ghergu, Stephen J. Gardiner, Tomas Sj\"odin

arxiv:1901.05868 v1 · 2019-01-17 · math.CA · 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{TD52D5G7VZKCSIZB3455F2UAAN}

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	2026-05-17T23:56:05.943776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98fba1f4dfae54292321df3bd2ea80034738ae1ad00be9a1c362c6e9dbc4f31b

Aliases

arxiv: 1901.05868 · arxiv_version: 1901.05868v1 · doi: 10.48550/arxiv.1901.05868 · pith_short_12: TD52D5G7VZKC · pith_short_16: TD52D5G7VZKCSIZB · pith_short_8: TD52D5G7

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/TD52D5G7VZKCSIZB3455F2UAAN \
  | 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: 98fba1f4dfae54292321df3bd2ea80034738ae1ad00be9a1c362c6e9dbc4f31b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bb444aad5b00b2da0926176ce03b170d3ea05a8386b0706f374616c16da243a",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-01-17T16:18:53Z",
    "title_canon_sha256": "4b911b72ace8b2e3a6fd7e54b84224d0513fd698708ce9e5e73bb0938207d4bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05868",
    "kind": "arxiv",
    "version": 1
  }
}