Pith Number

pith:ZBS53GP6

pith:2017:ZBS53GP6TWNM34XCI77K23B3KG

not attested not anchored not stored refs pending

Sharp estimates for solutions of mean field equation with collapsing singularity

Chang-shou Lin, Gabriella Tarantello, Wen Yang, Youngae Lee

arxiv:1702.07854 v1 · 2017-02-25 · 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{ZBS53GP6TWNM34XCI77K23B3KG}

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	2026-05-18T00:49:56.851667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c865dd99fe9d9acdf2e247fead6c3b518390a2f33285db16d605ffa6045d9d9c

Aliases

arxiv: 1702.07854 · arxiv_version: 1702.07854v1 · doi: 10.48550/arxiv.1702.07854 · pith_short_12: ZBS53GP6TWNM · pith_short_16: ZBS53GP6TWNM34XC · pith_short_8: ZBS53GP6

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/ZBS53GP6TWNM34XCI77K23B3KG \
  | 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: c865dd99fe9d9acdf2e247fead6c3b518390a2f33285db16d605ffa6045d9d9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "080c9805648b9b19409dc81301cdf7ec78a3aa429ee005c1f82cb384a55d67da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-25T08:55:37Z",
    "title_canon_sha256": "d4424f51659690872654849e05df20be121aeaae30e3ac4cc2816643305f6096"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07854",
    "kind": "arxiv",
    "version": 1
  }
}