Pith Number

pith:32MICA6T

pith:2026:32MICA6TIQ4WXMNECC33VUUI2T

not attested not anchored not stored refs pending

On shifting the thermal explosion threshold by a vortical flow in dimension two

Peter V. Gordon, Tianyi Guo

arxiv:2606.07307 v1 · 2026-06-05 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32MICA6TIQ4WXMNECC33VUUI2T}

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	2026-06-08T01:05:18.844416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de988103d344396bb1a410b7bad288d4c1b5d28500345b9ec8aba83268a7da00

Aliases

arxiv: 2606.07307 · arxiv_version: 2606.07307v1 · doi: 10.48550/arxiv.2606.07307 · pith_short_12: 32MICA6TIQ4W · pith_short_16: 32MICA6TIQ4WXMNE · pith_short_8: 32MICA6T

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/32MICA6TIQ4WXMNECC33VUUI2T \
  | 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: de988103d344396bb1a410b7bad288d4c1b5d28500345b9ec8aba83268a7da00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c83650286d260c1c0edef210756d064845a702fab7214afd6ada0bab51b2a9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-05T14:24:04Z",
    "title_canon_sha256": "7295394cc2cff20dc5416e2dbeb347359c32c608dc67383fbbdb6afd51efa2fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07307",
    "kind": "arxiv",
    "version": 1
  }
}