Pith Number

pith:PT4GRVTZ

pith:2010:PT4GRVTZ23RLVI57JEHMBQ2IYH

not attested not anchored not stored refs pending

Normally Elliptic Singular Perturbations and Persistence of Homoclinic Orbits

Chongchun Zeng, Nan Lu

arxiv:1012.0079 v1 · 2010-12-01 · 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{PT4GRVTZ23RLVI57JEHMBQ2IYH}

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	2026-05-18T04:27:06.333630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cf868d679d6e2baa3bf490ec0c348c1ceb99ffb088528c8559f6508784fd3bb

Aliases

arxiv: 1012.0079 · arxiv_version: 1012.0079v1 · doi: 10.48550/arxiv.1012.0079 · pith_short_12: PT4GRVTZ23RL · pith_short_16: PT4GRVTZ23RLVI57 · pith_short_8: PT4GRVTZ

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/PT4GRVTZ23RLVI57JEHMBQ2IYH \
  | 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: 7cf868d679d6e2baa3bf490ec0c348c1ceb99ffb088528c8559f6508784fd3bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6d5bd93cb9ce1be3ff8826420b9b0cd76f0c065630ba4626930b5b90e662637",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-12-01T01:56:43Z",
    "title_canon_sha256": "f16143ba223d7002bb1d9d1ba1716e52a5694c1cbec0a633eb3d5edd51db608f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0079",
    "kind": "arxiv",
    "version": 1
  }
}