Pith Number

pith:DM4HA6KY

pith:2012:DM4HA6KYEUYYQJ326C6QYSDXIR

not attested not anchored not stored refs pending

A free boundary problem arising from segregation of populations with high competition

Veronica Quitalo

arxiv:1210.6711 v1 · 2012-10-25 · 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{DM4HA6KYEUYYQJ326C6QYSDXIR}

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	2026-05-18T01:53:37.988136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b38707958253188277af0bd0c4877446387295f8d2c07e614f4c91403a48d78

Aliases

arxiv: 1210.6711 · arxiv_version: 1210.6711v1 · doi: 10.48550/arxiv.1210.6711 · pith_short_12: DM4HA6KYEUYY · pith_short_16: DM4HA6KYEUYYQJ32 · pith_short_8: DM4HA6KY

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/DM4HA6KYEUYYQJ326C6QYSDXIR \
  | 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: 1b38707958253188277af0bd0c4877446387295f8d2c07e614f4c91403a48d78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fbbee6819382ef4c28ce8873f5bf76bb855578a7a2bb2341ecb9c1df98bfbdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-25T00:40:28Z",
    "title_canon_sha256": "bf37cf9b058afc056b441f7c60d9aa248dde3e8e34e3a6d730bd98a95d23b99a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6711",
    "kind": "arxiv",
    "version": 1
  }
}