Pith Number

pith:QXEZSC6L

pith:2014:QXEZSC6LZ74T54Y7SJ2S6FS6W7

not attested not anchored not stored refs pending

Asymptotic structure and singularities in constrained directed graphs

David Aristoff, Lingjiong Zhu

arxiv:1405.2466 v4 · 2014-05-10 · math.PR · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXEZSC6LZ74T54Y7SJ2S6FS6W7}

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	2026-05-18T01:34:59.301190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85c9990bcbcff93ef31f92752f165eb7fb1047a387b4f8f2e3cfdc0cb0011510

Aliases

arxiv: 1405.2466 · arxiv_version: 1405.2466v4 · doi: 10.48550/arxiv.1405.2466 · pith_short_12: QXEZSC6LZ74T · pith_short_16: QXEZSC6LZ74T54Y7 · pith_short_8: QXEZSC6L

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/QXEZSC6LZ74T54Y7SJ2S6FS6W7 \
  | 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: 85c9990bcbcff93ef31f92752f165eb7fb1047a387b4f8f2e3cfdc0cb0011510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e0adf691e4b401cf2e3527c909d1156cff33650f53e93a88aef82972a26b10f",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-10T19:58:20Z",
    "title_canon_sha256": "c2e4196a3d3ead0d291be002d7de8993ff36320c6ae95d248455d4242cc44b0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2466",
    "kind": "arxiv",
    "version": 4
  }
}