Pith Number

pith:DY7HCAWR

pith:2013:DY7HCAWR4I6YEBOQY23ESNTIIB

not attested not anchored not stored refs pending

On type I blow up formation for the critical NLW

Joachim Krieger, Willie Wong

arxiv:1301.4378 v4 · 2013-01-18 · 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{DY7HCAWR4I6YEBOQY23ESNTIIB}

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	2026-05-18T02:42:39.721602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e3e7102d1e23d8205d0c6b649366840561b7e7ea87fcc2ef188d64b7f476001

Aliases

arxiv: 1301.4378 · arxiv_version: 1301.4378v4 · doi: 10.48550/arxiv.1301.4378 · pith_short_12: DY7HCAWR4I6Y · pith_short_16: DY7HCAWR4I6YEBOQ · pith_short_8: DY7HCAWR

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/DY7HCAWR4I6YEBOQY23ESNTIIB \
  | 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: 1e3e7102d1e23d8205d0c6b649366840561b7e7ea87fcc2ef188d64b7f476001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b61704276170cf4d9675110eebdc373b6166511aece60587f15e5eaa9904fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-18T13:34:02Z",
    "title_canon_sha256": "5fa6daf0cbb1573aba1f1fcffaa2d937e544ef20d871f3414caa73eba640a037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4378",
    "kind": "arxiv",
    "version": 4
  }
}