Pith Number

pith:3Y3TU4Z4

pith:2018:3Y3TU4Z4RM35TZOF326XVL2ZUK

not attested not anchored not stored refs pending

The symbiotic contact process: phase transitions, hysteresis cycles, and bistability

A. A. Moreira, C. I. N. Sampaio Filho, H. A. Carmona, J. S. Andrade Jr, N. A. M. Ara\'ujo, T. B. dos Santos

arxiv:1806.11167 v1 · 2018-06-28 · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Y3TU4Z4RM35TZOF326XVL2ZUK}

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	2026-05-17T23:58:38.697195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de373a733c8b37d9e5c5debd7aaf59a296f324a0f0b3df2adb85a74f2d7b7542

Aliases

arxiv: 1806.11167 · arxiv_version: 1806.11167v1 · doi: 10.48550/arxiv.1806.11167 · pith_short_12: 3Y3TU4Z4RM35 · pith_short_16: 3Y3TU4Z4RM35TZOF · pith_short_8: 3Y3TU4Z4

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/3Y3TU4Z4RM35TZOF326XVL2ZUK \
  | 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: de373a733c8b37d9e5c5debd7aaf59a296f324a0f0b3df2adb85a74f2d7b7542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d18e2ab58e531343c54424a2eb7d9c567459bba3348ed343b9a6c0b5fe0c806",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-06-28T20:13:21Z",
    "title_canon_sha256": "09dd35bffa8507d602cb802fb7dd6f300ac60356f5aed620f951632300bbf4ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11167",
    "kind": "arxiv",
    "version": 1
  }
}