Pith Number

pith:ZFC34RX7

pith:2017:ZFC34RX7O7BDXSR556DTMKXDIP

not attested not anchored not stored refs pending

Symmetries of second order ODEs

Boris Kruglikov

arxiv:1711.05347 v1 · 2017-11-14 · math.DG · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFC34RX7O7BDXSR556DTMKXDIP}

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	2026-05-18T00:30:33.584207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c945be46ff77c23bca3def87362ae343f2993b24ce7de0685bc3131feb36dd30

Aliases

arxiv: 1711.05347 · arxiv_version: 1711.05347v1 · doi: 10.48550/arxiv.1711.05347 · pith_short_12: ZFC34RX7O7BD · pith_short_16: ZFC34RX7O7BDXSR5 · pith_short_8: ZFC34RX7

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/ZFC34RX7O7BDXSR556DTMKXDIP \
  | 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: c945be46ff77c23bca3def87362ae343f2993b24ce7de0685bc3131feb36dd30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "443fc696c8d328ab887680ae33533dda130fd3d9d7ec6a5086483b5e4b4365ec",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-14T23:02:42Z",
    "title_canon_sha256": "8b1edfeb865f50677362b02fea8dc0e39b5e17b1d0927b517a36956e5b3d2bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05347",
    "kind": "arxiv",
    "version": 1
  }
}