Pith Number

pith:GZQ7WAIT

pith:2024:GZQ7WAITL6RJMOTSZD3NM7TTO2

not attested not anchored not stored refs pending

Improved moduli of continuity for degenerate phase transitions

Jos\'e Miguel Urbano, Naian Liao, Ugo Gianazza

arxiv:2408.11555 v1 · 2024-08-21 · math.AP

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\usepackage{pith}
\pithnumber{GZQ7WAITL6RJMOTSZD3NM7TTO2}

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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.

Cited by

1 paper in Pith

Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem

Receipt and verification

First computed	2026-07-05T08:57:45.494761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3661fb01135fa2963a72c8f6d67e73768bcb2571c7d89fbe7b7cab7f298b4b38

Aliases

arxiv: 2408.11555 · arxiv_version: 2408.11555v1 · doi: 10.48550/arxiv.2408.11555 · pith_short_12: GZQ7WAITL6RJ · pith_short_16: GZQ7WAITL6RJMOTS · pith_short_8: GZQ7WAIT

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/GZQ7WAITL6RJMOTSZD3NM7TTO2 \
  | 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: 3661fb01135fa2963a72c8f6d67e73768bcb2571c7d89fbe7b7cab7f298b4b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e046779132fa40aac05e3b6aa89217ee63a41613c926119ab6f0861634261b3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-08-21T12:06:52Z",
    "title_canon_sha256": "6debc98e06395d56f59d84bfc8030371b327d9a786feadfd30cf5437fd3baf79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.11555",
    "kind": "arxiv",
    "version": 1
  }
}