Pith Number

pith:3NSKNV5F

pith:2015:3NSKNV5FJKRADBL77672MFUUZD

not attested not anchored not stored refs pending

Classification of Blow-ups and Free Boundaries of Solutions to Unstable Free Boundary Problems

Andreas Minne

arxiv:1510.03872 v1 · 2015-10-13 · 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{3NSKNV5FJKRADBL77672MFUUZD}

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	2026-05-18T01:30:14.686869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db64a6d7a54aa201857fffbfa61694c8c031327ab8f431ea95bfbf5ee13dda64

Aliases

arxiv: 1510.03872 · arxiv_version: 1510.03872v1 · doi: 10.48550/arxiv.1510.03872 · pith_short_12: 3NSKNV5FJKRA · pith_short_16: 3NSKNV5FJKRADBL7 · pith_short_8: 3NSKNV5F

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/3NSKNV5FJKRADBL77672MFUUZD \
  | 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: db64a6d7a54aa201857fffbfa61694c8c031327ab8f431ea95bfbf5ee13dda64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c7bf046ed9a88097b670cedcdce826741d14aec5142dbb27d8062aa67ba4649",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-13T20:16:19Z",
    "title_canon_sha256": "e43322e7be63213b3532820fffa46f9013785d7e913f0baabc848eb9478f8f12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03872",
    "kind": "arxiv",
    "version": 1
  }
}