Pith Number

pith:AU6U7RXC

pith:2015:AU6U7RXC5BAJFPAJX2FQ74PXY2

not attested not anchored not stored refs pending

Critical measures for vector energy: global structure of trajectories of quadratic differentials

Andrei Martinez-Finkelshtein, Guilherme Silva

arxiv:1509.06704 v3 · 2015-09-22 · 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{AU6U7RXC5BAJFPAJX2FQ74PXY2}

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	2026-05-18T01:08:31.085077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

053d4fc6e2e84092bc09be8b0ff1f7c6a269d72bb6e0099e98b0ab6f723bc63e

Aliases

arxiv: 1509.06704 · arxiv_version: 1509.06704v3 · doi: 10.48550/arxiv.1509.06704 · pith_short_12: AU6U7RXC5BAJ · pith_short_16: AU6U7RXC5BAJFPAJ · pith_short_8: AU6U7RXC

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/AU6U7RXC5BAJFPAJX2FQ74PXY2 \
  | 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: 053d4fc6e2e84092bc09be8b0ff1f7c6a269d72bb6e0099e98b0ab6f723bc63e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b140a2eb5a8c21eddb7b70bf6533d658f90b0a142da7c2dffdb9107e5195394",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-22T18:10:13Z",
    "title_canon_sha256": "3ff35af2fb00be1c994badb435473f593c74dbb0428b85421126c81a11c1df0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06704",
    "kind": "arxiv",
    "version": 3
  }
}