Pith Number

pith:WXC34YJ7

pith:2015:WXC34YJ7CTBX5U6DCKGNOAHNJW

not attested not anchored not stored refs pending

The diffusive competition problem with a free boundary in heterogeneous time-periodic environment

Fengquan Li, Feng Wang, Qiaoling Chen

arxiv:1504.05486 v2 · 2015-04-21 · 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{WXC34YJ7CTBX5U6DCKGNOAHNJW}

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	2026-05-18T02:18:03.211724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5c5be613f14c37ed3c3128cd700ed4d9938f35009d8d20cd74f1a4463aff8a5

Aliases

arxiv: 1504.05486 · arxiv_version: 1504.05486v2 · doi: 10.48550/arxiv.1504.05486 · pith_short_12: WXC34YJ7CTBX · pith_short_16: WXC34YJ7CTBX5U6D · pith_short_8: WXC34YJ7

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/WXC34YJ7CTBX5U6DCKGNOAHNJW \
  | 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: b5c5be613f14c37ed3c3128cd700ed4d9938f35009d8d20cd74f1a4463aff8a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7dcd565608861473f1409243a9f21305a8d0cbe55ba3b803b3dd99e17847bb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-21T16:00:29Z",
    "title_canon_sha256": "d6cfcc8ea5f4684026649839344856e08d4d044f2e628066c7e2b1a3843c4112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05486",
    "kind": "arxiv",
    "version": 2
  }
}