Pith Number

pith:OQYL7HOT

pith:2010:OQYL7HOT5RNK4UJHWIOJICGKW6

not attested not anchored not stored refs pending

Stability of solutions to some evolution problem

A.G.Ramm

arxiv:1012.2785 v1 · 2010-12-13 · math.DS · 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{OQYL7HOT5RNK4UJHWIOJICGKW6}

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	2026-05-18T04:33:27.776357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7430bf9dd3ec5aae5127b21c9408cab78273da9f0f5e0e3bbaa7f22be0ff6577

Aliases

arxiv: 1012.2785 · arxiv_version: 1012.2785v1 · doi: 10.48550/arxiv.1012.2785 · pith_short_12: OQYL7HOT5RNK · pith_short_16: OQYL7HOT5RNK4UJH · pith_short_8: OQYL7HOT

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/OQYL7HOT5RNK4UJHWIOJICGKW6 \
  | 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: 7430bf9dd3ec5aae5127b21c9408cab78273da9f0f5e0e3bbaa7f22be0ff6577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbcfe2ac46a15f5c62ba29a45054fd6edf0a031bf0c2ceaba964972b0765c479",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-12-13T16:08:01Z",
    "title_canon_sha256": "bd042a00368b66b7a88d719615d601307895fd8dbf41f948abc9675dc50a3c7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2785",
    "kind": "arxiv",
    "version": 1
  }
}