Pith Number

pith:SAWHLZ2K

pith:2016:SAWHLZ2KDUTZ4ODBSIF4YW5RDL

not attested not anchored not stored refs pending

Heat flow of extrinsic biharmonic maps from a four dimensional manifold with boundary

Changyou Wang, Lei Liu, Tao Huang, Yong Luo

arxiv:1604.06075 v2 · 2016-04-20 · 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{SAWHLZ2KDUTZ4ODBSIF4YW5RDL}

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	2026-05-18T01:06:40.723826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

902c75e74a1d279e3861920bcc5bb11afca97796ebccde8ebcfbdcc80ab411f3

Aliases

arxiv: 1604.06075 · arxiv_version: 1604.06075v2 · doi: 10.48550/arxiv.1604.06075 · pith_short_12: SAWHLZ2KDUTZ · pith_short_16: SAWHLZ2KDUTZ4ODB · pith_short_8: SAWHLZ2K

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/SAWHLZ2KDUTZ4ODBSIF4YW5RDL \
  | 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: 902c75e74a1d279e3861920bcc5bb11afca97796ebccde8ebcfbdcc80ab411f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "647625b5630d75841ce9349786f37d4454a1426687afee5570dbdad95bc032cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-20T19:43:42Z",
    "title_canon_sha256": "a2b88d769e350c0d93e089f05dda4ae15f511f47dda40adf660e2024b493041c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06075",
    "kind": "arxiv",
    "version": 2
  }
}