Pith Number

pith:PTBNCAUB

pith:2016:PTBNCAUBQUQWLNN63ZT3F4MGSN

not attested not anchored not stored refs pending

Horizontal $\alpha$-Harmonic Maps

Francesca Da Lio, Tristan Rivi\`ere

arxiv:1604.05461 v1 · 2016-04-19 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTBNCAUBQUQWLNN63ZT3F4MGSN}

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	2026-05-18T01:16:53.852652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc2d10281852165b5bede67b2f18693522ffb04bc93ba6c338262f803863d96

Aliases

arxiv: 1604.05461 · arxiv_version: 1604.05461v1 · doi: 10.48550/arxiv.1604.05461 · pith_short_12: PTBNCAUBQUQW · pith_short_16: PTBNCAUBQUQWLNN6 · pith_short_8: PTBNCAUB

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/PTBNCAUBQUQWLNN63ZT3F4MGSN \
  | 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: 7cc2d10281852165b5bede67b2f18693522ffb04bc93ba6c338262f803863d96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d00598c9b47e28f450bd84367a84d7ef2948eddaad1aa5c41a97c5272ec069bd",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-19T07:55:47Z",
    "title_canon_sha256": "1394f4af1534e14e9f323462bc5878546734118607880a0bf6e43a35d0ad762e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05461",
    "kind": "arxiv",
    "version": 1
  }
}