Pith Number

pith:N3D6IUQQ

pith:2012:N3D6IUQQEWIAL654S3SSM4OW5F

not attested not anchored not stored refs pending

Asymmetric non-Gaussian effects in a tumor growth model with immunization

Jinqiao Duan, Mengli Hao, Renming Song, Wei Xu

arxiv:1211.2068 v1 · 2012-11-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3D6IUQQEWIAL654S3SSM4OW5F}

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	2026-05-18T03:41:11.800947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ec7e45210259005fbbc96e52671d6e95b1ef96727cad5f146111986199dad14

Aliases

arxiv: 1211.2068 · arxiv_version: 1211.2068v1 · doi: 10.48550/arxiv.1211.2068 · pith_short_12: N3D6IUQQEWIA · pith_short_16: N3D6IUQQEWIAL654 · pith_short_8: N3D6IUQQ

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/N3D6IUQQEWIAL654S3SSM4OW5F \
  | 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: 6ec7e45210259005fbbc96e52671d6e95b1ef96727cad5f146111986199dad14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aa6c9fc1c025153a818ebccadafeb71c8e443cda06e5a65f93315d89403c70c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-09T08:08:11Z",
    "title_canon_sha256": "2c5db005753b1f9f4c83f70e0f93baf9952de8f5307095cb316b3ed00ecb4bfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2068",
    "kind": "arxiv",
    "version": 1
  }
}