Pith Number

pith:4ASTHEJC

pith:2012:4ASTHEJC64SC2VNSVJFFYG6DKA

not attested not anchored not stored refs pending

Global solutions for micro-macro models of polymeric fluids

Yun Wang, Zhen Lei

arxiv:1203.2700 v1 · 2012-03-13 · 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{4ASTHEJC64SC2VNSVJFFYG6DKA}

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	2026-05-18T04:00:14.887463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e025339122f7242d55b2aa4a5c1bc3502c2172bc42d78147095a4eae815b9663

Aliases

arxiv: 1203.2700 · arxiv_version: 1203.2700v1 · doi: 10.48550/arxiv.1203.2700 · pith_short_12: 4ASTHEJC64SC · pith_short_16: 4ASTHEJC64SC2VNS · pith_short_8: 4ASTHEJC

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/4ASTHEJC64SC2VNSVJFFYG6DKA \
  | 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: e025339122f7242d55b2aa4a5c1bc3502c2172bc42d78147095a4eae815b9663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d680c18459b5bb5ef9907793b58001154c20de3c558336f7ca3efcc36c5b96d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-13T02:37:53Z",
    "title_canon_sha256": "ec58a80dfb1d3dcda89304bb072866a00f41bc5220b472ab6ef5992047eb1751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2700",
    "kind": "arxiv",
    "version": 1
  }
}