Pith Number

pith:4AZRDESE

pith:2020:4AZRDESEQNDLPTLZ3JDHM73O6Q

not attested not anchored not stored refs pending

Capturing the cascade: a transseries approach to delayed bifurcations

Christopher J. Howls, Christopher J. Lustri, Daniel Hasenbichler, In\^es Aniceto

arxiv:2012.09779 v1 · 2020-12-17 · math.DS · math-ph · 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{4AZRDESEQNDLPTLZ3JDHM73O6Q}

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	2026-07-05T03:38:14.772123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0331192448346b7cd79da46767f6ef4297d6bc8273b2795a84f4a012cbd84d3

Aliases

arxiv: 2012.09779 · arxiv_version: 2012.09779v1 · doi: 10.48550/arxiv.2012.09779 · pith_short_12: 4AZRDESEQNDL · pith_short_16: 4AZRDESEQNDLPTLZ · pith_short_8: 4AZRDESE

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/4AZRDESEQNDLPTLZ3JDHM73O6Q \
  | 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: e0331192448346b7cd79da46767f6ef4297d6bc8273b2795a84f4a012cbd84d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf9f6b0297b580872e6caa8884c9e54755a7b1ffa68abb208b0cfaa6078e9b2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-12-17T17:42:05Z",
    "title_canon_sha256": "db8f44893cdac716cb2a3ddba6c68d0ae40fff6a1296a81e8027c5621a176a3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.09779",
    "kind": "arxiv",
    "version": 1
  }
}