Pith Number

pith:2Z2BWPOE

pith:2016:2Z2BWPOEOAJBO5DL7K2CSPEVCD

not attested not anchored not stored refs pending

On the complexity of partial derivatives

ENS Lyon), Ignacio Garcia-Marco, Pascal Koiran, St\'ephan Thomass\'e (LIP, Timoth\'ee Pecatte

arxiv:1607.05494 v2 · 2016-07-19 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2Z2BWPOEOAJBO5DL7K2CSPEVCD}

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	2026-05-18T00:43:21.047580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6741b3dc4701217746bfab4293c9510d11d74a066de06ba1412429f26e49a75

Aliases

arxiv: 1607.05494 · arxiv_version: 1607.05494v2 · doi: 10.48550/arxiv.1607.05494 · pith_short_12: 2Z2BWPOEOAJB · pith_short_16: 2Z2BWPOEOAJBO5DL · pith_short_8: 2Z2BWPOE

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/2Z2BWPOEOAJBO5DL7K2CSPEVCD \
  | 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: d6741b3dc4701217746bfab4293c9510d11d74a066de06ba1412429f26e49a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70d9049879ddb1328cc1dc107c62ad57da8baed94755d2dcb9e463d3a03f23b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-07-19T09:49:19Z",
    "title_canon_sha256": "e2fc71432c0224b0300d68c227552336d74dea1763811212c1103679e2e2ba02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05494",
    "kind": "arxiv",
    "version": 2
  }
}