Pith Number

pith:DJGXNB2F

pith:2016:DJGXNB2FB24MNECKKJD6BVNYT6

not attested not anchored not stored refs pending

Non-cooperative Fisher--KPP systems: traveling waves and long-time behavior

L\'eo Girardin (LJLL)

arxiv:1612.05774 v3 · 2016-12-17 · 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{DJGXNB2FB24MNECKKJD6BVNYT6}

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	2026-05-18T00:37:57.566440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a4d7687450eb8c6904a5247e0d5b89fa9c9902a834b3e8c81786cc34776febe

Aliases

arxiv: 1612.05774 · arxiv_version: 1612.05774v3 · doi: 10.48550/arxiv.1612.05774 · pith_short_12: DJGXNB2FB24M · pith_short_16: DJGXNB2FB24MNECK · pith_short_8: DJGXNB2F

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/DJGXNB2FB24MNECKKJD6BVNYT6 \
  | 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: 1a4d7687450eb8c6904a5247e0d5b89fa9c9902a834b3e8c81786cc34776febe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38b343f054ae58a0609c2eef100a1e8e8119daa45848da2af714cb3b0df9951d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-17T14:26:17Z",
    "title_canon_sha256": "d29992623f8d7f5553c5b67b4d529b25270ab777825bf965bd582c8b462f091f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05774",
    "kind": "arxiv",
    "version": 3
  }
}