Pith Number

pith:PRYPGV7I

pith:2012:PRYPGV7I57ANYQWDN5TMM2FXPP

not attested not anchored not stored refs pending

Divided Differences of Multivariate Implicit Functions

Georg Muntingh

arxiv:1202.6537 v1 · 2012-02-29 · math.NA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRYPGV7I57ANYQWDN5TMM2FXPP}

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	2026-05-18T03:45:41.530688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c70f357e8efc0dc42c36f66c668b77bf9352cf1eb61dcbe49dca5231f91a70a

Aliases

arxiv: 1202.6537 · arxiv_version: 1202.6537v1 · doi: 10.48550/arxiv.1202.6537 · pith_short_12: PRYPGV7I57AN · pith_short_16: PRYPGV7I57ANYQWD · pith_short_8: PRYPGV7I

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/PRYPGV7I57ANYQWDN5TMM2FXPP \
  | 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: 7c70f357e8efc0dc42c36f66c668b77bf9352cf1eb61dcbe49dca5231f91a70a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "268775a9ffa89cc01dc4fc15092bc5adc32d9b0e7fbcdf35fea30d900b6a7687",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-02-29T13:14:26Z",
    "title_canon_sha256": "fed2e067dae7bbb67a6f35fa2f1e75a27501b1fd4b74b2d4409750b53b9dd930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6537",
    "kind": "arxiv",
    "version": 1
  }
}