Pith Number

pith:IXXPNJBP

pith:2016:IXXPNJBPIDEKH7AM4AIEN66JOH

not attested not anchored not stored refs pending

Parabolic Obstacle Problems. Quasi-convexity and Regularity

Emmanouil Milakis, Ioannis Athanasopoulos, Luis Caffarelli

arxiv:1601.01516 v1 · 2016-01-07 · 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{IXXPNJBPIDEKH7AM4AIEN66JOH}

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	2026-05-18T00:27:22.452147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45eef6a42f40c8a3fc0ce01046fbc971ea6d43c6692c1e6c989a46b6d4898ce6

Aliases

arxiv: 1601.01516 · arxiv_version: 1601.01516v1 · doi: 10.48550/arxiv.1601.01516 · pith_short_12: IXXPNJBPIDEK · pith_short_16: IXXPNJBPIDEKH7AM · pith_short_8: IXXPNJBP

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/IXXPNJBPIDEKH7AM4AIEN66JOH \
  | 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: 45eef6a42f40c8a3fc0ce01046fbc971ea6d43c6692c1e6c989a46b6d4898ce6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aefec0aedf26552de22ba1bfa3cfeeb508f0a32e2c1dbf50d1b3b699f9019c65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-07T12:43:50Z",
    "title_canon_sha256": "8313b02ecaf763190a75d04bb97f300c67a238a163638b2808d0bd9adcfd85f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01516",
    "kind": "arxiv",
    "version": 1
  }
}