Pith Number

pith:ZPR5MEK2

pith:2012:ZPR5MEK2JT55GPIZFNK7WWAOW6

not attested not anchored not stored refs pending

Reduction of over-determined systems of differential equations

Maxim Zaytsev, Vyacheslav Akkerman

arxiv:1208.3156 v3 · 2012-08-15 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPR5MEK2JT55GPIZFNK7WWAOW6}

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	2026-05-18T03:32:45.096467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe3d6115a4cfbd33d192b55fb580eb7851d7371e485d7612bb0d05934ca5afc

Aliases

arxiv: 1208.3156 · arxiv_version: 1208.3156v3 · doi: 10.48550/arxiv.1208.3156 · pith_short_12: ZPR5MEK2JT55 · pith_short_16: ZPR5MEK2JT55GPIZ · pith_short_8: ZPR5MEK2

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/ZPR5MEK2JT55GPIZFNK7WWAOW6 \
  | 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: cbe3d6115a4cfbd33d192b55fb580eb7851d7371e485d7612bb0d05934ca5afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a150837b794425e086e9b2357584e7bf66c17c92b3a90b490986f6d0c0c2d993",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-15T16:43:54Z",
    "title_canon_sha256": "97c7b10eb0fc2c424f887120d7c2a30b4ba21a9b405d0df331b0f76637538d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3156",
    "kind": "arxiv",
    "version": 3
  }
}