Pith Number

pith:DR777T4B

pith:2014:DR777T4BVAJ4OMYHM7SJWVQDZW

not attested not anchored not stored refs pending

Eigenvalues of Curvature, Lyapunov exponents and Harder-Narasimhan filtrations

Fei Yu

arxiv:1408.1630 v4 · 2014-08-07 · math.AG · math.DG · math.DS · math.GT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DR777T4BVAJ4OMYHM7SJWVQDZW}

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	2026-05-18T00:18:20.891973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c7fffcf81a813c7330767e49b5603cda9fe44615014e1d452f374e591d3a6f2

Aliases

arxiv: 1408.1630 · arxiv_version: 1408.1630v4 · doi: 10.48550/arxiv.1408.1630 · pith_short_12: DR777T4BVAJ4 · pith_short_16: DR777T4BVAJ4OMYH · pith_short_8: DR777T4B

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/DR777T4BVAJ4OMYHM7SJWVQDZW \
  | 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: 1c7fffcf81a813c7330767e49b5603cda9fe44615014e1d452f374e591d3a6f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "992ee12d5030a4a377fd7912544c8935ef1a38f3dece28c58f93e3cd7597f06e",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS",
      "math.GT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-08-07T15:51:35Z",
    "title_canon_sha256": "4db6af618f38f7fccc24f45c3e453b7b6903106931759cc4292133b53ef302ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1630",
    "kind": "arxiv",
    "version": 4
  }
}