Pith Number

pith:76PBU3YZ

pith:2016:76PBU3YZZZTJB7J23EQ4NEBKCI

not attested not anchored not stored refs pending

Polynomial Time Corresponds to Solutions of Polynomial Ordinary Differential Equations of Polynomial Length (Journal version)

Amaury Pouly, Daniel S. Gra\c{a}a, Olivier Bournez

arxiv:1609.08059 v3 · 2016-09-23 · cs.CC · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76PBU3YZZZTJB7J23EQ4NEBKCI}

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	2026-05-18T00:44:19.751899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff9e1a6f19ce6690fd3ad921c6902a12134cd4991eb49b78d1e2033c9d728984

Aliases

arxiv: 1609.08059 · arxiv_version: 1609.08059v3 · doi: 10.48550/arxiv.1609.08059 · pith_short_12: 76PBU3YZZZTJ · pith_short_16: 76PBU3YZZZTJB7J2 · pith_short_8: 76PBU3YZ

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/76PBU3YZZZTJB7J23EQ4NEBKCI \
  | 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: ff9e1a6f19ce6690fd3ad921c6902a12134cd4991eb49b78d1e2033c9d728984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59c749dfd8395ecd6d003813cc09b5c9542aab680958db16b584484488df1917",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-09-23T16:13:28Z",
    "title_canon_sha256": "902965a76d81f323b1e07d4eab246091ceeae9291d09bda36c67d0aecd79674b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08059",
    "kind": "arxiv",
    "version": 3
  }
}