Pith Number

pith:7FBBZTAA

pith:2012:7FBBZTAA5ANTT75SZFHLDUGZDJ

not attested not anchored not stored refs pending

Threshold phenomena for symmetric decreasing solutions of reaction-diffusion equations

C. B. Muratov, X. Zhong

arxiv:1203.4623 v1 · 2012-03-20 · 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{7FBBZTAA5ANTT75SZFHLDUGZDJ}

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	2026-05-18T03:12:46.576375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9421ccc00e81b39ffb2c94eb1d0d91a7c50048777ca04814a455b588b88873b

Aliases

arxiv: 1203.4623 · arxiv_version: 1203.4623v1 · doi: 10.48550/arxiv.1203.4623 · pith_short_12: 7FBBZTAA5ANT · pith_short_16: 7FBBZTAA5ANTT75S · pith_short_8: 7FBBZTAA

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/7FBBZTAA5ANTT75SZFHLDUGZDJ \
  | 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: f9421ccc00e81b39ffb2c94eb1d0d91a7c50048777ca04814a455b588b88873b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff31c5a71a6069be60a7ab7826d897720e4397a947cad4c02e917992ed61a361",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-20T23:29:46Z",
    "title_canon_sha256": "c4e0c38961e12d057cfb511e12f5da0c61987b475fd0f1db95cf9f2c9ec8f739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4623",
    "kind": "arxiv",
    "version": 1
  }
}