Pith Number

pith:GGFTYGRB

pith:2011:GGFTYGRBV5GKMKUFOPHDVZNOYO

not attested not anchored not stored refs pending

Disc functionals and Siciak-Zaharyuta extremal functions on singular varieties

Barbara Drinovec Drnovsek, Franc Forstneric

arxiv:1109.3947 v3 · 2011-09-19 · 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{GGFTYGRBV5GKMKUFOPHDVZNOYO}

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	2026-05-18T02:51:25.662782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

318b3c1a21af4ca62a8573ce3ae5aec3a86fc2c5b1d0052d2e9b08f66b91c270

Aliases

arxiv: 1109.3947 · arxiv_version: 1109.3947v3 · doi: 10.48550/arxiv.1109.3947 · pith_short_12: GGFTYGRBV5GK · pith_short_16: GGFTYGRBV5GKMKUF · pith_short_8: GGFTYGRB

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/GGFTYGRBV5GKMKUFOPHDVZNOYO \
  | 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: 318b3c1a21af4ca62a8573ce3ae5aec3a86fc2c5b1d0052d2e9b08f66b91c270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ae6f4115589567f5e95728240c4730e54b088bdf3a06f2f65a72812de251b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-09-19T06:26:38Z",
    "title_canon_sha256": "9cc55254097df2a54997e48616cc82d321f5d52cfe41e7e7844887b577c4a159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3947",
    "kind": "arxiv",
    "version": 3
  }
}