Pith Number

pith:VEON3OAA

pith:2020:VEON3OAAQD5FI5M23UA75SRRTY

not attested not anchored not stored refs pending

Nematic-Isotropic phase transition in Liquid crystals: a variational derivation of effective geometric motions

Tim Laux, Yuning Liu

arxiv:2010.07786 v2 · 2020-10-15 · 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{VEON3OAAQD5FI5M23UA75SRRTY}

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	2026-07-05T03:01:10.458436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a91cddb80080fa54759add01feca319e2583dc6422c201aa53940ef183aec532

Aliases

arxiv: 2010.07786 · arxiv_version: 2010.07786v2 · doi: 10.48550/arxiv.2010.07786 · pith_short_12: VEON3OAAQD5F · pith_short_16: VEON3OAAQD5FI5M2 · pith_short_8: VEON3OAA

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/VEON3OAAQD5FI5M23UA75SRRTY \
  | 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: a91cddb80080fa54759add01feca319e2583dc6422c201aa53940ef183aec532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1176ccae39aa171b22b71699c70131520e5beb2f5e30aa0a874c528a5f7d1ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-10-15T14:22:26Z",
    "title_canon_sha256": "7f7968b1176c9a4c399e61c6defde74a569fc77b8d9b1052bd584693a72f911f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.07786",
    "kind": "arxiv",
    "version": 2
  }
}