Pith Number

pith:PW6S774S

pith:2015:PW6S774SN5JSFYPZOC52JXEBKD

not attested not anchored not stored refs pending

Log-log blow up solutions blow up at exactly m points

Chenjie Fan

arxiv:1510.00961 v3 · 2015-10-04 · 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{PW6S774SN5JSFYPZOC52JXEBKD}

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	2026-05-18T01:21:36.937415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dbd2fff926f5322e1f970bba4dc8150f2c68de46e37a60d24ae2dd1ff6bf7d8

Aliases

arxiv: 1510.00961 · arxiv_version: 1510.00961v3 · doi: 10.48550/arxiv.1510.00961 · pith_short_12: PW6S774SN5JS · pith_short_16: PW6S774SN5JSFYPZ · pith_short_8: PW6S774S

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/PW6S774SN5JSFYPZOC52JXEBKD \
  | 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: 7dbd2fff926f5322e1f970bba4dc8150f2c68de46e37a60d24ae2dd1ff6bf7d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8b72af25d7f395c6d7d928293fdb9dfe2ae665009fe2c61be2735736e686ebb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-04T17:57:40Z",
    "title_canon_sha256": "ada3a301b9763855d330dcd9cc492862247395c68945935ac614ed846f5ef57a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00961",
    "kind": "arxiv",
    "version": 3
  }
}