Pith Number

pith:SPIN3XBU

pith:2016:SPIN3XBUX2MW5VUHTHHN27KRGQ

not attested not anchored not stored refs pending

Competition in periodic media: I -- Existence of pulsating fronts

L\'eo Girardin

arxiv:1606.02367 v3 · 2016-06-08 · 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{SPIN3XBUX2MW5VUHTHHN27KRGQ}

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	2026-05-18T00:55:39.130370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93d0dddc34be996ed68799cedd7d513401dc704cc7c42e63785b9363fee13a13

Aliases

arxiv: 1606.02367 · arxiv_version: 1606.02367v3 · doi: 10.48550/arxiv.1606.02367 · pith_short_12: SPIN3XBUX2MW · pith_short_16: SPIN3XBUX2MW5VUH · pith_short_8: SPIN3XBU

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/SPIN3XBUX2MW5VUHTHHN27KRGQ \
  | 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: 93d0dddc34be996ed68799cedd7d513401dc704cc7c42e63785b9363fee13a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63f0067e447c6b41c3f2e396a6c5428f78040cf9b30bd01b8e09b369ca5d42e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-08T01:20:52Z",
    "title_canon_sha256": "0b0c5054c926d65d38808dd5e84ebf5b000c3a223c009d6fbc3d8db0397f2788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02367",
    "kind": "arxiv",
    "version": 3
  }
}