Pith Number

pith:D36ZY3OJ

pith:2015:D36ZY3OJLTCCU7LPFNL52VULXW

not attested not anchored not stored refs pending

Threshold phenomena for symmetric-decreasing radial solutions of reaction-diffusion equations

C. B. Muratov, X. Zhong

arxiv:1506.09146 v2 · 2015-06-30 · math.AP · math-ph · math.MP · nlin.PS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D36ZY3OJLTCCU7LPFNL52VULXW}

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	2026-05-17T23:46:31.394157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1efd9c6dc95cc42a7d6f2b57dd568bbdb198f82c6633d25470f990d1e7dbede5

Aliases

arxiv: 1506.09146 · arxiv_version: 1506.09146v2 · doi: 10.48550/arxiv.1506.09146 · pith_short_12: D36ZY3OJLTCC · pith_short_16: D36ZY3OJLTCCU7LP · pith_short_8: D36ZY3OJ

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/D36ZY3OJLTCCU7LPFNL52VULXW \
  | 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: 1efd9c6dc95cc42a7d6f2b57dd568bbdb198f82c6633d25470f990d1e7dbede5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95f88f9e392a71f42b5f4aaeaad3b506904ea9e94dd954ac5fa36a7cb3fb259f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-30T16:23:02Z",
    "title_canon_sha256": "4bdb9da4791304fecbed41bb1b61a3eaaebc291c197d69f4eec1ded4d8de8c9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.09146",
    "kind": "arxiv",
    "version": 2
  }
}