Pith Number

pith:GDGFLQNH

pith:2025:GDGFLQNHGKGP3CESF2IIX2OLIE

not attested not anchored not stored refs pending

Computation of shape Taylor expansions

Gang Bao, Haoran Ma, Jun Lai

arxiv:2504.06621 v2 · 2025-04-09 · math.NA · cs.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDGFLQNHGKGP3CESF2IIX2OLIE}

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	2026-07-05T10:52:21.961262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30cc55c1a7328cfd88922e908be9cb4110756b1c615ace7acdc138a1c4fcd521

Aliases

arxiv: 2504.06621 · arxiv_version: 2504.06621v2 · doi: 10.48550/arxiv.2504.06621 · pith_short_12: GDGFLQNHGKGP · pith_short_16: GDGFLQNHGKGP3CES · pith_short_8: GDGFLQNH

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/GDGFLQNHGKGP3CESF2IIX2OLIE \
  | 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: 30cc55c1a7328cfd88922e908be9cb4110756b1c615ace7acdc138a1c4fcd521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d09802f0ac0fe9a09327a4f4f71fc7d139e4c8d5e58cab8af1079ad3c4a91aa",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-04-09T06:42:21Z",
    "title_canon_sha256": "19fa32b8feebdf48430e99cf5fa6005083bad4cf0fec66cb639308ca3a3793d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.06621",
    "kind": "arxiv",
    "version": 2
  }
}