Pith Number

pith:OAG7KBPT

pith:2015:OAG7KBPT7XISOFLFPBM2LRVNS6

not attested not anchored not stored refs pending

Modica type gradient estimates for reaction-diffusion equations and a parabolic counterpart of a conjecture of De Giorgi

Agnid Banerjee, Nicola Garofalo

arxiv:1502.05758 v2 · 2015-02-20 · 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{OAG7KBPT7XISOFLFPBM2LRVNS6}

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	2026-05-18T02:25:25.958665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

700df505f3fdd12715657859a5c6ad97b8c0af9ac139b5a44c90810b201a75c3

Aliases

arxiv: 1502.05758 · arxiv_version: 1502.05758v2 · doi: 10.48550/arxiv.1502.05758 · pith_short_12: OAG7KBPT7XIS · pith_short_16: OAG7KBPT7XISOFLF · pith_short_8: OAG7KBPT

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/OAG7KBPT7XISOFLFPBM2LRVNS6 \
  | 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: 700df505f3fdd12715657859a5c6ad97b8c0af9ac139b5a44c90810b201a75c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66e70bcd88f1f7ce79fe0314c7b8c681fab74a2f9ac7cf8e99fc8aa9ef4b7bfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-20T01:01:29Z",
    "title_canon_sha256": "e706ed3b1e4576846c93f72889a57ed13bcc8d3b3c704eda82c3506a2bc2cc22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05758",
    "kind": "arxiv",
    "version": 2
  }
}