Pith Number

pith:MRWV7OXZ

pith:2015:MRWV7OXZUEM5ATVBPAH6AZOWWP

not attested not anchored not stored refs pending

A new discrete monotonicity formula with application to a two-phase free boundary problem in dimension two

Aram Karakhanyan, Serena Dipierro

arxiv:1509.00277 v1 · 2015-09-01 · 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{MRWV7OXZUEM5ATVBPAH6AZOWWP}

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	2026-05-18T01:34:14.578987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

646d5fbaf9a119d04ea1780fe065d6b3c075d15ba9db22f42e125529713242b5

Aliases

arxiv: 1509.00277 · arxiv_version: 1509.00277v1 · doi: 10.48550/arxiv.1509.00277 · pith_short_12: MRWV7OXZUEM5 · pith_short_16: MRWV7OXZUEM5ATVB · pith_short_8: MRWV7OXZ

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/MRWV7OXZUEM5ATVBPAH6AZOWWP \
  | 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: 646d5fbaf9a119d04ea1780fe065d6b3c075d15ba9db22f42e125529713242b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cccf6f136b34e59d6265914a48564e0a7478dd58d6d478c6a7925b84c786b7fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-01T13:25:15Z",
    "title_canon_sha256": "5e26bfa498aeb7fe7c484576b8be503cb84fe217c4011ff43a358f4f1afe5459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00277",
    "kind": "arxiv",
    "version": 1
  }
}