Pith Number

pith:PVSYI6L3

pith:2017:PVSYI6L3D7DTTFD2F3YB3FJJQJ

not attested not anchored not stored refs pending

Twist maps as energy minimisers in homotopy classes: symmetrisation and the coarea formula

Ali Taheri, Charles Morris

arxiv:1701.07987 v1 · 2017-01-27 · 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{PVSYI6L3D7DTTFD2F3YB3FJJQJ}

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	2026-05-18T00:51:59.218878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d6584797b1fc739947a2ef01d9529824a3d5db3260e3f66cbd9e44e97c7156e

Aliases

arxiv: 1701.07987 · arxiv_version: 1701.07987v1 · doi: 10.48550/arxiv.1701.07987 · pith_short_12: PVSYI6L3D7DT · pith_short_16: PVSYI6L3D7DTTFD2 · pith_short_8: PVSYI6L3

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/PVSYI6L3D7DTTFD2F3YB3FJJQJ \
  | 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: 7d6584797b1fc739947a2ef01d9529824a3d5db3260e3f66cbd9e44e97c7156e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ecebbfbe1148730c571e3535b2e5097bc756a8424c1fdba2026aa1b076a8a89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-27T09:47:39Z",
    "title_canon_sha256": "00d9bd08aea24ed0a0fa539a480c8346a65bd19e569ae6f02d68397f6e69c4cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07987",
    "kind": "arxiv",
    "version": 1
  }
}