Pith Number

pith:64F5M2PH

pith:2017:64F5M2PH77XV7YK7GI5HUCLXFF

not attested not anchored not stored refs pending

On bifurcation of eigenvalues along convex symplectic paths

Jian Wang, Yiming Long, Yinshan Chang

arxiv:1710.07940 v2 · 2017-10-22 · 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{64F5M2PH77XV7YK7GI5HUCLXFF}

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	2026-05-18T00:31:55.507773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f70bd669e7ffef5fe15f323a7a097729484813563c08dadf7b6403ce691b7666

Aliases

arxiv: 1710.07940 · arxiv_version: 1710.07940v2 · doi: 10.48550/arxiv.1710.07940 · pith_short_12: 64F5M2PH77XV · pith_short_16: 64F5M2PH77XV7YK7 · pith_short_8: 64F5M2PH

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/64F5M2PH77XV7YK7GI5HUCLXFF \
  | 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: f70bd669e7ffef5fe15f323a7a097729484813563c08dadf7b6403ce691b7666

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de83d4cb23f3923f19879d39120841406896032ce9b2eb992768ecbec8361c62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-22T13:57:58Z",
    "title_canon_sha256": "327a636cfcc988f2b8662c207235520f72b1a2a97189a254ecbcb853c53ba37a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07940",
    "kind": "arxiv",
    "version": 2
  }
}