Pith Number

pith:NBG4B5FQ

pith:2012:NBG4B5FQQSK2TATOBQWZRVN5GG

not attested not anchored not stored refs pending

Initial Coefficients of Bi-univalent Functions

See Keong Lee, Shamani Supramaniam, V. Ravichandran

arxiv:1207.6458 v1 · 2012-07-27 · 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{NBG4B5FQQSK2TATOBQWZRVN5GG}

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	2026-05-18T03:49:59.279933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

684dc0f4b08495a9826e0c2d98d5bd3187f05c526f91c61308ea19197f9ca184

Aliases

arxiv: 1207.6458 · arxiv_version: 1207.6458v1 · doi: 10.48550/arxiv.1207.6458 · pith_short_12: NBG4B5FQQSK2 · pith_short_16: NBG4B5FQQSK2TATO · pith_short_8: NBG4B5FQ

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/NBG4B5FQQSK2TATOBQWZRVN5GG \
  | 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: 684dc0f4b08495a9826e0c2d98d5bd3187f05c526f91c61308ea19197f9ca184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b6b734946f6325c744b53599f54cdfa3316a3e26e12dc07254edeb7407db889",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-07-27T06:30:28Z",
    "title_canon_sha256": "0b7beb91303e3d1880314393b5feb79ed8a01edab3f24f623c38003e18fda515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6458",
    "kind": "arxiv",
    "version": 1
  }
}