Pith Number

pith:UEGCROCL

pith:2009:UEGCROCLP2ZRQTA5LMXL2P5NQF

not attested not anchored not stored refs pending

Symmetries of degenerate center singularities of plane vector fields

Sergiy Maksymenko

arxiv:0907.0737 v2 · 2009-07-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UEGCROCLP2ZRQTA5LMXL2P5NQF}

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	2026-05-18T01:23:48.543935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a10c28b84b7eb3184c1d5b2ebd3fad81626765ed5915b47368d56b5c953369e7

Aliases

arxiv: 0907.0737 · arxiv_version: 0907.0737v2 · doi: 10.48550/arxiv.0907.0737 · pith_short_12: UEGCROCLP2ZR · pith_short_16: UEGCROCLP2ZRQTA5 · pith_short_8: UEGCROCL

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/UEGCROCLP2ZRQTA5LMXL2P5NQF \
  | 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: a10c28b84b7eb3184c1d5b2ebd3fad81626765ed5915b47368d56b5c953369e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a63a1463a5be3f723a26195accd12ab4fac340a68d1a67b9985e602a1944ef95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-07-04T03:04:48Z",
    "title_canon_sha256": "4a8c444210c3277798f0da858d59b71cb5fd86456d49be68a482baf9ee14e485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0737",
    "kind": "arxiv",
    "version": 2
  }
}